997338765060 has 960 divisors, whose sum is σ = 3713076702720. Its totient is φ = 221405184000.

The previous prime is 997338765047. The next prime is 997338765109. The reversal of 997338765060 is 60567833799.

997338765060 is a `hidden beast` number, since 9 + 97 + 3 + 38 + 7 + 6 + 506 + 0 = 666.

It is a super-2 number, since 2×997338765060² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1914277600 + ... + 1914278120.

It is an arithmetic number, because the mean of its divisors is an integer number (3867788232).

Almost surely, 2^997338765060 is an apocalyptic number.

997338765060 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 997338765060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856538351360).

997338765060 is an abundant number, since it is smaller than the sum of its proper divisors (2715737937660).

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

997338765060 is a wasteful number, since it uses less digits than its factorization.

997338765060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 719 counting only the distinct ones).

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

The spelling of 997338765060 in words is "nine hundred ninety-seven billion, three hundred thirty-eight million, seven hundred sixty-five thousand, sixty".