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64674247440 = 24351119279859
BaseRepresentation
bin111100001110111000…
…101011001100010000
320011221021000011210210
4330032320223030100
52024423101404230
645413321324120
74446455014155
oct741670531420
9204837004723
1064674247440
1125478a21380
121064b336640
136138c7238a
1431b759a22c
151a37caeeb0
hexf0ee2b310

64674247440 has 480 divisors, whose sum is σ = 234027878400. Its totient is φ = 14648325120.

The previous prime is 64674247439. The next prime is 64674247441. The reversal of 64674247440 is 4474247646.

It is an interprime number because it is at equal distance from previous prime (64674247439) and next prime (64674247441).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 64674247440.

It is not an unprimeable number, because it can be changed into a prime (64674247441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75289731 + ... + 75290589.

It is an arithmetic number, because the mean of its divisors is an integer number (487558080).

Almost surely, 264674247440 is an apocalyptic number.

64674247440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64674247440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117013939200).

64674247440 is an abundant number, since it is smaller than the sum of its proper divisors (169353630960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

64674247440 is a wasteful number, since it uses less digits than its factorization.

64674247440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 48.

The spelling of 64674247440 in words is "sixty-four billion, six hundred seventy-four million, two hundred forty-seven thousand, four hundred forty".