76104268416 has 384 divisors, whose sum is σ = 249006643200. Its totient is φ = 22864343040.

The previous prime is 76104268381. The next prime is 76104268463. The reversal of 76104268416 is 61486240167.

76104268416 is a `hidden beast` number, since 7 + 610 + 4 + 26 + 8 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×76104268416² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53107636 + ... + 53109068.

It is an arithmetic number, because the mean of its divisors is an integer number (648454800).

Almost surely, 2^76104268416 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 76104268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124503321600).

76104268416 is an abundant number, since it is smaller than the sum of its proper divisors (172902374784).

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

76104268416 is a wasteful number, since it uses less digits than its factorization.

76104268416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 76104268416 in words is "seventy-six billion, one hundred four million, two hundred sixty-eight thousand, four hundred sixteen".