92874792240 has 640 divisors, whose sum is σ = 357177139200. Its totient is φ = 22081351680.

The previous prime is 92874792191. The next prime is 92874792337. The reversal of 92874792240 is 4229747829.

It is a happy number.

92874792240 is a `hidden beast` number, since 92 + 87 + 479 + 2 + 2 + 4 + 0 = 666.

It is a super-3 number, since 3×92874792240³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 47071894 + ... + 47073866.

It is an arithmetic number, because the mean of its divisors is an integer number (558089280).

Almost surely, 2^92874792240 is an apocalyptic number.

92874792240 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 92874792240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178588569600).

92874792240 is an abundant number, since it is smaller than the sum of its proper divisors (264302346960).

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

92874792240 is a wasteful number, since it uses less digits than its factorization.

92874792240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 92874792240 in words is "ninety-two billion, eight hundred seventy-four million, seven hundred ninety-two thousand, two hundred forty".