992673792000 has 1600 divisors, whose sum is σ = 4275266767200. Its totient is φ = 226492416000.

The previous prime is 992673791951. The next prime is 992673792041. The reversal of 992673792000 is 297376299.

992673792000 is a `hidden beast` number, since 9 + 9 + 2 + 67 + 379 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58392575992 + ... + 58392576008.

Almost surely, 2^992673792000 is an apocalyptic number.

992673792000 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 992673792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137633383600).

992673792000 is an abundant number, since it is smaller than the sum of its proper divisors (3282592975200).

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

992673792000 is an frugal number, since it uses more digits than its factorization.

992673792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2571912, while the sum is 54.

The spelling of 992673792000 in words is "nine hundred ninety-two billion, six hundred seventy-three million, seven hundred ninety-two thousand".