76972644627966 has 96 divisors (see below), whose sum is σ = 173083466649600. Its totient is φ = 24696060822720.

The previous prime is 76972644627889. The next prime is 76972644627971. The reversal of 76972644627966 is 66972644627967.

76972644627966 is a `hidden beast` number, since 7 + 6 + 9 + 7 + 2 + 64 + 462 + 7 + 96 + 6 = 666.

It is a congruent number.

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, 109941420 + ... + 110639328.

It is an arithmetic number, because the mean of its divisors is an integer number (1802952777600).

Almost surely, 2^{76972644627966} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76972644627966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86541733324800).

76972644627966 is an abundant number, since it is smaller than the sum of its proper divisors (96110822021634).

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

76972644627966 is a wasteful number, since it uses less digits than its factorization.

76972644627966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699014 (or 699011 counting only the distinct ones).

The product of its digits is 13826598912, while the sum is 81.

Subtracting from 76972644627966 its reverse (66972644627967), we obtain a palindrome (9999999999999).

The spelling of 76972644627966 in words is "seventy-six trillion, nine hundred seventy-two billion, six hundred forty-four million, six hundred twenty-seven thousand, nine hundred sixty-six".