92742386913792 has 2880 divisors, whose sum is σ = 362883746953728. Its totient is φ = 22267035648000.

The previous prime is 92742386913727. The next prime is 92742386913823. The reversal of 92742386913792 is 29731968324729.

92742386913792 is a `hidden beast` number, since 9 + 2 + 7 + 42 + 386 + 91 + 37 + 92 = 666.

It is a super-2 number, since 2×92742386913792² (a number of 29 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 92742386913792.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 480530502048 + ... + 480530502240.

Almost surely, 2^{92742386913792} is an apocalyptic number.

92742386913792 is a gapful number since it is divisible by the number (92) 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 92742386913792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181441873476864).

92742386913792 is an abundant number, since it is smaller than the sum of its proper divisors (270141360039936).

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

92742386913792 is a wasteful number, since it uses less digits than its factorization.

92742386913792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 393 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 92742386913792 in words is "ninety-two trillion, seven hundred forty-two billion, three hundred eighty-six million, nine hundred thirteen thousand, seven hundred ninety-two".