6364975680 has 896 divisors, whose sum is σ = 28090368000. Its totient is φ = 1323786240.

The previous prime is 6364975619. The next prime is 6364975697. The reversal of 6364975680 is 865794636.

6364975680 is a `hidden beast` number, since 6 + 36 + 49 + 7 + 568 + 0 = 666.

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

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, 33324385 + ... + 33324575.

Almost surely, 2^6364975680 is an apocalyptic number.

6364975680 is a gapful number since it is divisible by the number (60) 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 6364975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045184000).

6364975680 is an abundant number, since it is smaller than the sum of its proper divisors (21725392320).

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

6364975680 is a wasteful number, since it uses less digits than its factorization.

6364975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 6364975680 is about 79780.7976896697. The cubic root of 6364975680 is about 1853.2424927728.

The spelling of 6364975680 in words is "six billion, three hundred sixty-four million, nine hundred seventy-five thousand, six hundred eighty".