997740372672 has 224 divisors, whose sum is σ = 3077436364800. Its totient is φ = 316574438400.

The previous prime is 997740372661. The next prime is 997740372757. The reversal of 997740372672 is 276273047799.

997740372672 is a `hidden beast` number, since 9 + 97 + 7 + 403 + 72 + 6 + 72 = 666.

997740372672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×997740372672² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114979 + ... + 3420317.

It is an arithmetic number, because the mean of its divisors is an integer number (13738555200).

Almost surely, 2^997740372672 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 997740372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538718182400).

997740372672 is an abundant number, since it is smaller than the sum of its proper divisors (2079695992128).

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

997740372672 is a wasteful number, since it uses less digits than its factorization.

997740372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305452 (or 305436 counting only the distinct ones).

The product of its (nonzero) digits is 56010528, while the sum is 63.

The spelling of 997740372672 in words is "nine hundred ninety-seven billion, seven hundred forty million, three hundred seventy-two thousand, six hundred seventy-two".