8157696000 has 416 divisors, whose sum is σ = 27968398848. Its totient is φ = 2110259200.

The previous prime is 8157695983. The next prime is 8157696011. The reversal of 8157696000 is 6967518.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72191944 + ... + 72192056.

It is an arithmetic number, because the mean of its divisors is an integer number (67231728).

Almost surely, 2^8157696000 is an apocalyptic number.

8157696000 is a gapful number since it is divisible by the number (80) 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 8157696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13984199424).

8157696000 is an abundant number, since it is smaller than the sum of its proper divisors (19810702848).

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

8157696000 is a wasteful number, since it uses less digits than its factorization.

8157696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 8157696000 is about 90319.9645704093. The cubic root of 8157696000 is about 2013.0559193620.

The spelling of 8157696000 in words is "eight billion, one hundred fifty-seven million, six hundred ninety-six thousand".