8251534368 has 384 divisors, whose sum is σ = 30981242880. Its totient is φ = 2073600000.

The previous prime is 8251534351. The next prime is 8251534387. The reversal of 8251534368 is 8634351528.

8251534368 is a `hidden beast` number, since 8 + 2 + 51 + 534 + 3 + 68 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2060368 + ... + 2064368.

It is an arithmetic number, because the mean of its divisors is an integer number (80680320).

Almost surely, 2^8251534368 is an apocalyptic number.

8251534368 is a gapful number since it is divisible by the number (88) 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 8251534368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15490621440).

8251534368 is an abundant number, since it is smaller than the sum of its proper divisors (22729708512).

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

8251534368 is a wasteful number, since it uses less digits than its factorization.

8251534368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4055 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 8251534368 is about 90837.9566480885. The cubic root of 8251534368 is about 2020.7452702100.

The spelling of 8251534368 in words is "eight billion, two hundred fifty-one million, five hundred thirty-four thousand, three hundred sixty-eight".