8675057664 has 448 divisors, whose sum is σ = 31707002880. Its totient is φ = 2282618880.

The previous prime is 8675057627. The next prime is 8675057669. The reversal of 8675057664 is 4667505768.

8675057664 is a `hidden beast` number, since 8 + 6 + 7 + 5 + 0 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8675057664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8675057669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20127529 + ... + 20127959.

It is an arithmetic number, because the mean of its divisors is an integer number (70774560).

Almost surely, 2^8675057664 is an apocalyptic number.

8675057664 is a gapful number since it is divisible by the number (84) 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 8675057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15853501440).

8675057664 is an abundant number, since it is smaller than the sum of its proper divisors (23031945216).

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

8675057664 is a wasteful number, since it uses less digits than its factorization.

8675057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The square root of 8675057664 is about 93139.9896070426. The cubic root of 8675057664 is about 2054.7427500455.

The spelling of 8675057664 in words is "eight billion, six hundred seventy-five million, fifty-seven thousand, six hundred sixty-four".