976469760000 has 720 divisors, whose sum is σ = 4027934710800. Its totient is φ = 223174656000.

The previous prime is 976469759989. The next prime is 976469760017. The reversal of 976469760000 is 67964679.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 80633946 + ... + 80646054.

It is an arithmetic number, because the mean of its divisors is an integer number (5594353765).

Almost surely, 2^976469760000 is an apocalyptic number.

976469760000 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 976469760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013967355400).

976469760000 is an abundant number, since it is smaller than the sum of its proper divisors (3051464950800).

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

976469760000 is a wasteful number, since it uses less digits than its factorization.

976469760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 976469760000 in words is "nine hundred seventy-six billion, four hundred sixty-nine million, seven hundred sixty thousand".