997365376800 has 1440 divisors, whose sum is σ = 4081855244544. Its totient is φ = 235395072000.

The previous prime is 997365376699. The next prime is 997365376807. The reversal of 997365376800 is 8673563799.

997365376800 is a `hidden beast` number, since 9 + 9 + 7 + 36 + 537 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is not an unprimeable number, because it can be changed into a prime (997365376807) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2314072585 + ... + 2314073015.

Almost surely, 2^997365376800 is an apocalyptic number.

997365376800 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 997365376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040927622272).

997365376800 is an abundant number, since it is smaller than the sum of its proper divisors (3084489867744).

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

997365376800 is a wasteful number, since it uses less digits than its factorization.

997365376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 997365376800 in words is "nine hundred ninety-seven billion, three hundred sixty-five million, three hundred seventy-six thousand, eight hundred".