966604920792 has 256 divisors, whose sum is σ = 2896591104000. Its totient is φ = 262814035968.

The previous prime is 966604920761. The next prime is 966604920793. The reversal of 966604920792 is 297029406669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (966604920793) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1165988634 + ... + 1165989462.

It is an arithmetic number, because the mean of its divisors is an integer number (11314809000).

Almost surely, 2^966604920792 is an apocalyptic number.

966604920792 is a gapful number since it is divisible by the number (92) 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 966604920792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448295552000).

966604920792 is an abundant number, since it is smaller than the sum of its proper divisors (1929986183208).

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

966604920792 is a wasteful number, since it uses less digits than its factorization.

966604920792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 966604920792 in words is "nine hundred sixty-six billion, six hundred four million, nine hundred twenty thousand, seven hundred ninety-two".