997314024960 has 2560 divisors, whose sum is σ = 4480170393600. Its totient is φ = 207028224000.

The previous prime is 997314024953. The next prime is 997314025003. The reversal of 997314024960 is 69420413799.

997314024960 is a `hidden beast` number, since 9 + 9 + 7 + 3 + 140 + 2 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a junction number, because it is equal to n+sod(n) for n = 997314024897 and 997314024906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7613084095 + ... + 7613084225.

It is an arithmetic number, because the mean of its divisors is an integer number (1750066560).

Almost surely, 2^997314024960 is an apocalyptic number.

997314024960 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 997314024960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240085196800).

997314024960 is an abundant number, since it is smaller than the sum of its proper divisors (3482856368640).

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

997314024960 is a wasteful number, since it uses less digits than its factorization.

997314024960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 997314024960 in words is "nine hundred ninety-seven billion, three hundred fourteen million, twenty-four thousand, nine hundred sixty".