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7899474240 = 263357247397
BaseRepresentation
bin1110101101101100…
…00110100101000000
3202101112020212111000
413112312012211000
5112134231133430
63343505052000
7366520265100
oct72666064500
922345225430
107899474240
113394057a09
121645627000
1398b777218
1454d1bb200
1531378ee60
hex1d6d86940

7899474240 has 672 divisors, whose sum is σ = 33190525440. Its totient is φ = 1762725888.

The previous prime is 7899474221. The next prime is 7899474241. The reversal of 7899474240 is 424749987.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7899474241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19897722 + ... + 19898118.

Almost surely, 27899474240 is an apocalyptic number.

7899474240 is a gapful number since it is divisible by the number (70) 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 7899474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16595262720).

7899474240 is an abundant number, since it is smaller than the sum of its proper divisors (25291051200).

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

7899474240 is a wasteful number, since it uses less digits than its factorization.

7899474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 7899474240 is about 88878.9864928713. The cubic root of 7899474240 is about 1991.5875180193.

The spelling of 7899474240 in words is "seven billion, eight hundred ninety-nine million, four hundred seventy-four thousand, two hundred forty".