997432597728000 has 6912 divisors, whose sum is σ = 4717239527669760. Its totient is φ = 204725035008000.

The previous prime is 997432597727999. The next prime is 997432597728013. The reversal of 997432597728000 is 827795234799.

997432597728000 is a `hidden beast` number, since 9 + 9 + 7 + 4 + 3 + 2 + 597 + 7 + 28 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 997432597728000.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1699203743707 + ... + 1699203744293.

It is an arithmetic number, because the mean of its divisors is an integer number (682470996480).

Almost surely, 2^{997432597728000} is an apocalyptic number.

997432597728000 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 997432597728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2358619763834880).

997432597728000 is an abundant number, since it is smaller than the sum of its proper divisors (3719806929941760).

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

997432597728000 is a wasteful number, since it uses less digits than its factorization.

997432597728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 997432597728000 in words is "nine hundred ninety-seven trillion, four hundred thirty-two billion, five hundred ninety-seven million, seven hundred twenty-eight thousand".