9957362688 has 528 divisors, whose sum is σ = 36623548416. Its totient is φ = 2534768640.

The previous prime is 9957362683. The next prime is 9957362693. The reversal of 9957362688 is 8862637599.

It is an interprime number because it is at equal distance from previous prime (9957362683) and next prime (9957362693).

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

It is not an unprimeable number, because it can be changed into a prime (9957362683) 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, 25998145 + ... + 25998527.

Almost surely, 2^9957362688 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 9957362688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18311774208).

9957362688 is an abundant number, since it is smaller than the sum of its proper divisors (26666185728).

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

9957362688 is a wasteful number, since it uses less digits than its factorization.

9957362688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 9957362688 is about 99786.5857117078. The cubic root of 9957362688 is about 2151.3683510767.

It can be divided in two parts, 99573 and 62688, that added together give a palindrome (162261).

The spelling of 9957362688 in words is "nine billion, nine hundred fifty-seven million, three hundred sixty-two thousand, six hundred eighty-eight".