9997553664 has 624 divisors, whose sum is σ = 36432519552. Its totient is φ = 2576351232.

The previous prime is 9997553653. The next prime is 9997553669. The reversal of 9997553664 is 4663557999.

9997553664 is a `hidden beast` number, since 9 + 9 + 97 + 5 + 536 + 6 + 4 = 666.

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

Its product of digits (55112400) is a multiple of the sum of its prime factors (150).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997553669) 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, 188633062 + ... + 188633114.

It is an arithmetic number, because the mean of its divisors is an integer number (58385448).

Almost surely, 2^9997553664 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 9997553664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18216259776).

9997553664 is an abundant number, since it is smaller than the sum of its proper divisors (26434965888).

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

9997553664 is a wasteful number, since it uses less digits than its factorization.

9997553664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its digits is 55112400, while the sum is 63.

The square root of 9997553664 is about 99987.7675718385. The cubic root of 9997553664 is about 2154.2589933326.

The spelling of 9997553664 in words is "nine billion, nine hundred ninety-seven million, five hundred fifty-three thousand, six hundred sixty-four".