976327456849920 has 3312 divisors, whose sum is σ = 4307776522433280. Its totient is φ = 199951128723456.

The previous prime is 976327456849919. The next prime is 976327456849931. The reversal of 976327456849920 is 29948654723679.

976327456849920 is a `hidden beast` number, since 9 + 7 + 6 + 3 + 2 + 7 + 4 + 568 + 49 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3312).

It is a self number, because there is not a number n which added to its sum of digits gives 976327456849920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10969971425236 + ... + 10969971425324.

Almost surely, 2^{976327456849920} is an apocalyptic number.

976327456849920 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 976327456849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153888261216640).

976327456849920 is an abundant number, since it is smaller than the sum of its proper divisors (3331449065583360).

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

976327456849920 is an frugal number, since it uses more digits than its factorization.

976327456849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 9876142080, while the sum is 81.

The spelling of 976327456849920 in words is "nine hundred seventy-six trillion, three hundred twenty-seven billion, four hundred fifty-six million, eight hundred forty-nine thousand, nine hundred twenty".