76657674240 has 864 divisors, whose sum is σ = 317232901440. Its totient is φ = 17414258688.

The previous prime is 76657674209. The next prime is 76657674259. The reversal of 76657674240 is 4247675667.

76657674240 is a `hidden beast` number, since 7 + 66 + 576 + 7 + 4 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a zygodrome in base 6.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 470292399 + ... + 470292561.

It is an arithmetic number, because the mean of its divisors is an integer number (367167710).

Almost surely, 2^76657674240 is an apocalyptic number.

76657674240 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 76657674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158616450720).

76657674240 is an abundant number, since it is smaller than the sum of its proper divisors (240575227200).

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

76657674240 is an frugal number, since it uses more digits than its factorization.

76657674240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 76657674240 in words is "seventy-six billion, six hundred fifty-seven million, six hundred seventy-four thousand, two hundred forty".