976742640720 has 2160 divisors, whose sum is σ = 4506566186304. Its totient is φ = 194387558400.

The previous prime is 976742640697. The next prime is 976742640739. The reversal of 976742640720 is 27046247679.

976742640720 is a `hidden beast` number, since 97 + 67 + 426 + 4 + 0 + 72 + 0 = 666.

976742640720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10069511712 + ... + 10069511808.

Almost surely, 2^976742640720 is an apocalyptic number.

976742640720 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 976742640720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253283093152).

976742640720 is an abundant number, since it is smaller than the sum of its proper divisors (3529823545584).

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

976742640720 is a wasteful number, since it uses less digits than its factorization.

976742640720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 976742640720 in words is "nine hundred seventy-six billion, seven hundred forty-two million, six hundred forty thousand, seven hundred twenty".