76905864672 has 576 divisors, whose sum is σ = 272268864000. Its totient is φ = 18537652224.

The previous prime is 76905864667. The next prime is 76905864713. The reversal of 76905864672 is 27646850967.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62575354 + ... + 62576582.

It is an arithmetic number, because the mean of its divisors is an integer number (472689000).

Almost surely, 2^76905864672 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 76905864672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136134432000).

76905864672 is an abundant number, since it is smaller than the sum of its proper divisors (195362999328).

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

76905864672 is a wasteful number, since it uses less digits than its factorization.

76905864672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 76905864672 in words is "seventy-six billion, nine hundred five million, eight hundred sixty-four thousand, six hundred seventy-two".