6364857918240 has 144 divisors (see below), whose sum is σ = 21720923792568. Its totient is φ = 1697229324288.

The previous prime is 6364857918229. The next prime is 6364857918359. The reversal of 6364857918240 is 428197584636.

6364857918240 is a `hidden beast` number, since 6 + 3 + 6 + 4 + 8 + 579 + 18 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6122002135824 + 242855782416 = 2474268^2 + 492804^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6364857918240² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45135522 + ... + 45276318.

It is a 2-persistent number, because it is pandigital, and so is 2⋅6364857918240 = 12729715836480, but 3⋅6364857918240 = 19094573754720 is not.

Almost surely, 2^{6364857918240} is an apocalyptic number.

6364857918240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6364857918240 is an abundant number, since it is smaller than the sum of its proper divisors (15356065874328).

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

6364857918240 is a wasteful number, since it uses less digits than its factorization.

6364857918240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172211 (or 172200 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 6364857918240 in words is "six trillion, three hundred sixty-four billion, eight hundred fifty-seven million, nine hundred eighteen thousand, two hundred forty".