976642466688 has 1152 divisors, whose sum is σ = 3595248296640. Its totient is φ = 252680601600.

The previous prime is 976642466687. The next prime is 976642466699. The reversal of 976642466688 is 886664246679.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (976642466687) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4052458248 + ... + 4052458488.

Almost surely, 2^976642466688 is an apocalyptic number.

976642466688 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 976642466688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797624148320).

976642466688 is an abundant number, since it is smaller than the sum of its proper divisors (2618605829952).

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

976642466688 is a wasteful number, since it uses less digits than its factorization.

976642466688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 414 counting only the distinct ones).

The product of its digits is 1003290624, while the sum is 72.

The spelling of 976642466688 in words is "nine hundred seventy-six billion, six hundred forty-two million, four hundred sixty-six thousand, six hundred eighty-eight".