9972329472 has 528 divisors, whose sum is σ = 36459853920. Its totient is φ = 2675441664.

The previous prime is 9972329461. The next prime is 9972329473. The reversal of 9972329472 is 2749232799.

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

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 (9972329473) 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, 23030568 + ... + 23031000.

Almost surely, 2^9972329472 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 9972329472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229926960).

9972329472 is an abundant number, since it is smaller than the sum of its proper divisors (26487524448).

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

9972329472 is a wasteful number, since it uses less digits than its factorization.

9972329472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 462 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 9972329472 is about 99861.5515200921. The cubic root of 9972329472 is about 2152.4457095171.

The spelling of 9972329472 in words is "nine billion, nine hundred seventy-two million, three hundred twenty-nine thousand, four hundred seventy-two".