992717320800 has 288 divisors, whose sum is σ = 3270874400640. Its totient is φ = 261488128000.

The previous prime is 992717320787. The next prime is 992717320813. The reversal of 992717320800 is 8023717299.

It is an interprime number because it is at equal distance from previous prime (992717320787) and next prime (992717320813).

It is a super-2 number, since 2×992717320800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 992717320800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309931999 + ... + 309935201.

It is an arithmetic number, because the mean of its divisors is an integer number (11357202780).

Almost surely, 2^992717320800 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 992717320800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635437200320).

992717320800 is an abundant number, since it is smaller than the sum of its proper divisors (2278157079840).

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

992717320800 is a wasteful number, since it uses less digits than its factorization.

992717320800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 992717320800 in words is "nine hundred ninety-two billion, seven hundred seventeen million, three hundred twenty thousand, eight hundred".