76044880414464 has 288 divisors, whose sum is σ = 220179301516608. Its totient is φ = 23160176640000.

The previous prime is 76044880414453. The next prime is 76044880414469. The reversal of 76044880414464 is 46441408844067.

It is a junction number, because it is equal to n+sod(n) for n = 76044880414398 and 76044880414407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76044880414469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4478224854 + ... + 4478241834.

Almost surely, 2^{76044880414464} 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 76044880414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110089650758304).

76044880414464 is an abundant number, since it is smaller than the sum of its proper divisors (144134421102144).

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

76044880414464 is a wasteful number, since it uses less digits than its factorization.

76044880414464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21555 (or 21541 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 60.

The spelling of 76044880414464 in words is "seventy-six trillion, forty-four billion, eight hundred eighty million, four hundred fourteen thousand, four hundred sixty-four".