992324874240 has 1664 divisors, whose sum is σ = 4317928243200. Its totient is φ = 211168788480.

The previous prime is 992324874193. The next prime is 992324874241. The reversal of 992324874240 is 42478423299.

992324874240 is a `hidden beast` number, since 9 + 9 + 2 + 324 + 8 + 74 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992324874241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7574998975 + ... + 7574999105.

It is an arithmetic number, because the mean of its divisors is an integer number (2594908800).

Almost surely, 2^992324874240 is an apocalyptic number.

992324874240 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 992324874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158964121600).

992324874240 is an abundant number, since it is smaller than the sum of its proper divisors (3325603368960).

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

992324874240 is a wasteful number, since it uses less digits than its factorization.

992324874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 992324874240 in words is "nine hundred ninety-two billion, three hundred twenty-four million, eight hundred seventy-four thousand, two hundred forty".