976552340400 has 2880 divisors, whose sum is σ = 4750962585600. Its totient is φ = 188116992000.

The previous prime is 976552340383. The next prime is 976552340411. The reversal of 976552340400 is 4043255679.

976552340400 is a `hidden beast` number, since 9 + 7 + 6 + 5 + 5 + 234 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4052084280 + ... + 4052084520.

Almost surely, 2^976552340400 is an apocalyptic number.

976552340400 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 976552340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375481292800).

976552340400 is an abundant number, since it is smaller than the sum of its proper divisors (3774410245200).

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

976552340400 is a wasteful number, since it uses less digits than its factorization.

976552340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 976552340400 in words is "nine hundred seventy-six billion, five hundred fifty-two million, three hundred forty thousand, four hundred".