6381952560 has 120 divisors (see below), whose sum is σ = 22560810480. Its totient is φ = 1612279296.

The previous prime is 6381952537. The next prime is 6381952567. The reversal of 6381952560 is 652591836.

6381952560 is a `hidden beast` number, since 6 + 3 + 81 + 9 + 5 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (6381952567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219579 + ... + 246938.

It is an arithmetic number, because the mean of its divisors is an integer number (188006754).

Almost surely, 2^6381952560 is an apocalyptic number.

6381952560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6381952560 is an abundant number, since it is smaller than the sum of its proper divisors (16178857920).

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

6381952560 is a wasteful number, since it uses less digits than its factorization.

6381952560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466555 (or 466546 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6381952560 is about 79887.1238686185. The cubic root of 6381952560 is about 1854.8887071994. Note that the first 3 decimals are identical.

The spelling of 6381952560 in words is "six billion, three hundred eighty-one million, nine hundred fifty-two thousand, five hundred sixty".