992727564048 has 960 divisors, whose sum is σ = 3347129769984. Its totient is φ = 271724544000.

The previous prime is 992727563929. The next prime is 992727564067. The reversal of 992727564048 is 840465727299.

992727564048 is a `hidden beast` number, since 9 + 9 + 2 + 7 + 27 + 564 + 0 + 48 = 666.

992727564048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7578072943 + ... + 7578073073.

Almost surely, 2^992727564048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992727564048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673564884992).

992727564048 is an abundant number, since it is smaller than the sum of its proper divisors (2354402205936).

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

992727564048 is a wasteful number, since it uses less digits than its factorization.

992727564048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 992727564048 in words is "nine hundred ninety-two billion, seven hundred twenty-seven million, five hundred sixty-four thousand, forty-eight".