8257041864 has 24 divisors (see below), whose sum is σ = 22362821910. Its totient is φ = 2752347264.

The previous prime is 8257041833. The next prime is 8257041911. The reversal of 8257041864 is 4681407528.

8257041864 is a `hidden beast` number, since 8 + 2 + 570 + 4 + 18 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7824817764 + 432224100 = 88458^2 + 20790^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57340497 + ... + 57340640.

Almost surely, 2^8257041864 is an apocalyptic number.

It is an amenable number.

8257041864 is an abundant number, since it is smaller than the sum of its proper divisors (14105780046).

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

8257041864 is a wasteful number, since it uses less digits than its factorization.

8257041864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114681149 (or 114681142 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8257041864 is about 90868.2665400854. The cubic root of 8257041864 is about 2021.1947531319.

The spelling of 8257041864 in words is "eight billion, two hundred fifty-seven million, forty-one thousand, eight hundred sixty-four".