92379326497920 has 4096 divisors, whose sum is σ = 438792837120000. Its totient is φ = 18014083153920.

The previous prime is 92379326497873. The next prime is 92379326497933. The reversal of 92379326497920 is 2979462397329.

92379326497920 is a `hidden beast` number, since 9 + 2 + 3 + 7 + 93 + 26 + 497 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 403403172366 + ... + 403403172594.

It is an arithmetic number, because the mean of its divisors is an integer number (107127157500).

Almost surely, 2^{92379326497920} is an apocalyptic number.

92379326497920 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 92379326497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219396418560000).

92379326497920 is an abundant number, since it is smaller than the sum of its proper divisors (346413510622080).

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

92379326497920 is a wasteful number, since it uses less digits than its factorization.

92379326497920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 555532992, while the sum is 72.

The spelling of 92379326497920 in words is "ninety-two trillion, three hundred seventy-nine billion, three hundred twenty-six million, four hundred ninety-seven thousand, nine hundred twenty".