92668496400 has 360 divisors, whose sum is σ = 326434694144. Its totient is φ = 24341990400.

The previous prime is 92668496381. The next prime is 92668496519. The reversal of 92668496400 is 469486629.

92668496400 is a `hidden beast` number, since 92 + 6 + 68 + 4 + 96 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71779755 + ... + 71781045.

Almost surely, 2^92668496400 is an apocalyptic number.

92668496400 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 92668496400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163217347072).

92668496400 is an abundant number, since it is smaller than the sum of its proper divisors (233766197744).

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

92668496400 is a wasteful number, since it uses less digits than its factorization.

92668496400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 92668496400 in words is "ninety-two billion, six hundred sixty-eight million, four hundred ninety-six thousand, four hundred".