76216256640 has 320 divisors, whose sum is σ = 276806376000. Its totient is φ = 19979053056.

The previous prime is 76216256629. The next prime is 76216256659. The reversal of 76216256640 is 4665261267.

76216256640 is a `hidden beast` number, since 7 + 6 + 21 + 62 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3046101 + ... + 3071019.

It is an arithmetic number, because the mean of its divisors is an integer number (865019925).

Almost surely, 2^76216256640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76216256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138403188000).

76216256640 is an abundant number, since it is smaller than the sum of its proper divisors (200590119360).

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

76216256640 is a wasteful number, since it uses less digits than its factorization.

76216256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25009 (or 24988 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 76216256640 in words is "seventy-six billion, two hundred sixteen million, two hundred fifty-six thousand, six hundred forty".