92142368640 has 512 divisors, whose sum is σ = 378245376000. Its totient is φ = 20762542080.

The previous prime is 92142368639. The next prime is 92142368671. The reversal of 92142368640 is 4686324129.

92142368640 is a `hidden beast` number, since 92 + 142 + 368 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8582796 + ... + 8593524.

It is an arithmetic number, because the mean of its divisors is an integer number (738760500).

Almost surely, 2^92142368640 is an apocalyptic number.

92142368640 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 92142368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189122688000).

92142368640 is an abundant number, since it is smaller than the sum of its proper divisors (286103007360).

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

92142368640 is a wasteful number, since it uses less digits than its factorization.

92142368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10835 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 92142368640 in words is "ninety-two billion, one hundred forty-two million, three hundred sixty-eight thousand, six hundred forty".