9972553464 has 320 divisors, whose sum is σ = 31135816800. Its totient is φ = 2968068096.

The previous prime is 9972553439. The next prime is 9972553469. The reversal of 9972553464 is 4643552799.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9972553464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972553469) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17526172 + ... + 17526740.

Almost surely, 2^9972553464 is an apocalyptic number.

9972553464 is the 63159-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9972553464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567908400).

9972553464 is an abundant number, since it is smaller than the sum of its proper divisors (21163263336).

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

9972553464 is a wasteful number, since it uses less digits than its factorization.

9972553464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The square root of 9972553464 is about 99862.6730265118. The cubic root of 9972553464 is about 2152.4618250098.

The spelling of 9972553464 in words is "nine billion, nine hundred seventy-two million, five hundred fifty-three thousand, four hundred sixty-four".