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60880940640 = 25325133738719
BaseRepresentation
bin111000101100110010…
…010110111001100000
312211010220020020010100
4320230302112321200
51444141010100030
643545053502400
74253454312522
oct705462267140
9184126206110
1060880940640
1123901781883
12b970aa1a00
13598310c640
142d3788ba12
1518b4c67360
hexe2cc96e60

60880940640 has 288 divisors, whose sum is σ = 224363018880. Its totient is φ = 14944186368.

The previous prime is 60880940597. The next prime is 60880940663. The reversal of 60880940640 is 4604908806.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×608809406402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 6978201 + ... + 6986919.

It is an arithmetic number, because the mean of its divisors is an integer number (779038260).

Almost surely, 260880940640 is an apocalyptic number.

60880940640 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 60880940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112181509440).

60880940640 is an abundant number, since it is smaller than the sum of its proper divisors (163482078240).

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

60880940640 is a wasteful number, since it uses less digits than its factorization.

60880940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9126 (or 9115 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 60880940640 in words is "sixty billion, eight hundred eighty million, nine hundred forty thousand, six hundred forty".