9157639680 has 560 divisors, whose sum is σ = 37676811744. Its totient is φ = 2090188800.

The previous prime is 9157639657. The next prime is 9157639693. The reversal of 9157639680 is 869367519.

9157639680 is a `hidden beast` number, since 9 + 1 + 576 + 3 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13063330 + ... + 13064030.

Almost surely, 2^9157639680 is an apocalyptic number.

9157639680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9157639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18838405872).

9157639680 is an abundant number, since it is smaller than the sum of its proper divisors (28519172064).

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

9157639680 is an frugal number, since it uses more digits than its factorization.

9157639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 9157639680 is about 95695.5572636473. The cubic root of 9157639680 is about 2092.1581821124.

The spelling of 9157639680 in words is "nine billion, one hundred fifty-seven million, six hundred thirty-nine thousand, six hundred eighty".