76044663614016 has 168 divisors, whose sum is σ = 218224499613120. Its totient is φ = 25318436742144.

The previous prime is 76044663613979. The next prime is 76044663614063. The reversal of 76044663614016 is 61041636644067.

76044663614016 is a `hidden beast` number, since 7 + 6 + 0 + 4 + 4 + 6 + 6 + 3 + 614 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4257095901 + ... + 4257113763.

It is an arithmetic number, because the mean of its divisors is an integer number (1298955354840).

Almost surely, 2^{76044663614016} 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 76044663614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109112249806560).

76044663614016 is an abundant number, since it is smaller than the sum of its proper divisors (142179835999104).

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

76044663614016 is a wasteful number, since it uses less digits than its factorization.

76044663614016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26153 (or 26140 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 76044663614016 in words is "seventy-six trillion, forty-four billion, six hundred sixty-three million, six hundred fourteen thousand, sixteen".