997640604000 has 384 divisors, whose sum is σ = 3690967512960. Its totient is φ = 261674496000.

The previous prime is 997640603983. The next prime is 997640604109. The reversal of 997640604000 is 406046799.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6512284 + ... + 6663716.

It is an arithmetic number, because the mean of its divisors is an integer number (9611894565).

Almost surely, 2^997640604000 is an apocalyptic number.

997640604000 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 997640604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1845483756480).

997640604000 is an abundant number, since it is smaller than the sum of its proper divisors (2693326908960).

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

997640604000 is a wasteful number, since it uses less digits than its factorization.

997640604000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151528 (or 151504 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 997640604000 in words is "nine hundred ninety-seven billion, six hundred forty million, six hundred four thousand".