76906001664 has 144 divisors (see below), whose sum is σ = 228269341440. Its totient is φ = 25540116480.

The previous prime is 76906001659. The next prime is 76906001671. The reversal of 76906001664 is 46610060967.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1852624 + ... + 1893680.

It is an arithmetic number, because the mean of its divisors is an integer number (1585203760).

Almost surely, 2^76906001664 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 76906001664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114134670720).

76906001664 is an abundant number, since it is smaller than the sum of its proper divisors (151363339776).

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

76906001664 is a wasteful number, since it uses less digits than its factorization.

76906001664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41353 (or 41333 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 76906001664 in words is "seventy-six billion, nine hundred six million, one thousand, six hundred sixty-four".