9997932672 has 384 divisors, whose sum is σ = 35639909760. Its totient is φ = 2619703296.

The previous prime is 9997932617. The next prime is 9997932673. The reversal of 9997932672 is 2762397999.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9997932673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29667288 + ... + 29667624.

It is an arithmetic number, because the mean of its divisors is an integer number (92812265).

Almost surely, 2^9997932672 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 9997932672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17819954880).

9997932672 is an abundant number, since it is smaller than the sum of its proper divisors (25641977088).

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

9997932672 is a wasteful number, since it uses less digits than its factorization.

9997932672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 645 counting only the distinct ones).

The product of its digits is 23147208, while the sum is 63.

The square root of 9997932672 is about 99989.6628257141. The cubic root of 9997932672 is about 2154.2862156946.

It can be divided in two parts, 99979 and 32672, that added together give a cube (132651 = 51³).

The spelling of 9997932672 in words is "nine billion, nine hundred ninety-seven million, nine hundred thirty-two thousand, six hundred seventy-two".