992392460640 has 960 divisors, whose sum is σ = 4079090473920. Its totient is φ = 225322352640.

The previous prime is 992392460629. The next prime is 992392460669. The reversal of 992392460640 is 46064293299.

992392460640 is a `hidden beast` number, since 9 + 9 + 2 + 3 + 9 + 24 + 606 + 4 + 0 = 666.

992392460640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×992392460640² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2499728922 + ... + 2499729318.

It is an arithmetic number, because the mean of its divisors is an integer number (4249052577).

Almost surely, 2^992392460640 is an apocalyptic number.

992392460640 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 992392460640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039545236960).

992392460640 is an abundant number, since it is smaller than the sum of its proper divisors (3086698013280).

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

992392460640 is a wasteful number, since it uses less digits than its factorization.

992392460640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 992392460640 in words is "nine hundred ninety-two billion, three hundred ninety-two million, four hundred sixty thousand, six hundred forty".