92456864640 has 1024 divisors, whose sum is σ = 394813440000. Its totient is φ = 19992158208.

The previous prime is 92456864597. The next prime is 92456864657. The reversal of 92456864640 is 4646865429.

92456864640 is a `hidden beast` number, since 92 + 456 + 8 + 64 + 6 + 40 = 666.

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 127 ways as a sum of consecutive naturals, for example, 464607261 + ... + 464607459.

It is an arithmetic number, because the mean of its divisors is an integer number (385560000).

Almost surely, 2^92456864640 is an apocalyptic number.

92456864640 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 92456864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720000).

92456864640 is an abundant number, since it is smaller than the sum of its proper divisors (302356575360).

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

92456864640 is a wasteful number, since it uses less digits than its factorization.

92456864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 92456864640 in words is "ninety-two billion, four hundred fifty-six million, eight hundred sixty-four thousand, six hundred forty".