8657214720 has 1152 divisors, whose sum is σ = 38428508160. Its totient is φ = 1605795840.

The previous prime is 8657214677. The next prime is 8657214767. The reversal of 8657214720 is 274127568.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 129212127 + ... + 129212193.

It is an arithmetic number, because the mean of its divisors is an integer number (33358080).

Almost surely, 2^8657214720 is an apocalyptic number.

8657214720 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 8657214720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19214254080).

8657214720 is an abundant number, since it is smaller than the sum of its proper divisors (29771293440).

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

8657214720 is a wasteful number, since it uses less digits than its factorization.

8657214720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 8657214720 is about 93044.1546793779. The cubic root of 8657214720 is about 2053.3330447330. Note that the first 3 decimals are identical.

The spelling of 8657214720 in words is "eight billion, six hundred fifty-seven million, two hundred fourteen thousand, seven hundred twenty".