976408878060 has 1152 divisors, whose sum is σ = 3975330078720. Its totient is φ = 194599342080.

The previous prime is 976408877981. The next prime is 976408878127. The reversal of 976408878060 is 60878804679.

976408878060 is a `hidden beast` number, since 9 + 76 + 408 + 87 + 80 + 6 + 0 = 666.

976408878060 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1139333152 + ... + 1139334008.

It is an arithmetic number, because the mean of its divisors is an integer number (3450807360).

Almost surely, 2^976408878060 is an apocalyptic number.

976408878060 is a gapful number since it is divisible by the number (90) 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 976408878060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1987665039360).

976408878060 is an abundant number, since it is smaller than the sum of its proper divisors (2998921200660).

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

976408878060 is a wasteful number, since it uses less digits than its factorization.

976408878060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 976408878060 in words is "nine hundred seventy-six billion, four hundred eight million, eight hundred seventy-eight thousand, sixty".