92198564640 has 1152 divisors, whose sum is σ = 402208934400. Its totient is φ = 19107422208.

The previous prime is 92198564629. The next prime is 92198564641. The reversal of 92198564640 is 4646589129.

92198564640 is a `hidden beast` number, since 9 + 2 + 19 + 8 + 564 + 64 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (92198564641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 532939594 + ... + 532939766.

It is an arithmetic number, because the mean of its divisors is an integer number (349139700).

Almost surely, 2^92198564640 is an apocalyptic number.

92198564640 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 92198564640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201104467200).

92198564640 is an abundant number, since it is smaller than the sum of its proper divisors (310010369760).

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

92198564640 is a wasteful number, since it uses less digits than its factorization.

92198564640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 92198564640 in words is "ninety-two billion, one hundred ninety-eight million, five hundred sixty-four thousand, six hundred forty".