997610038272 has 528 divisors, whose sum is σ = 3185485721600. Its totient is φ = 310930513920.

The previous prime is 997610038267. The next prime is 997610038319. The reversal of 997610038272 is 272830016799.

997610038272 is a `hidden beast` number, since 9 + 97 + 6 + 100 + 382 + 72 = 666.

It is a super-2 number, since 2×997610038272² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373495497 + ... + 373498167.

Almost surely, 2^997610038272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997610038272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592742860800).

997610038272 is an abundant number, since it is smaller than the sum of its proper divisors (2187875683328).

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

997610038272 is a wasteful number, since it uses less digits than its factorization.

997610038272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 997610038272 in words is "nine hundred ninety-seven billion, six hundred ten million, thirty-eight thousand, two hundred seventy-two".