6131564640 has 72 divisors (see below), whose sum is σ = 20923969248. Its totient is φ = 1635083520.

The previous prime is 6131564639. The next prime is 6131564669. The reversal of 6131564640 is 464651316.

It is a happy number.

6131564640 is a `hidden beast` number, since 6 + 1 + 3 + 1 + 5 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6131564595 and 6131564604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2127576 + ... + 2130455.

It is an arithmetic number, because the mean of its divisors is an integer number (290610684).

Almost surely, 2^6131564640 is an apocalyptic number.

6131564640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6131564640 is an abundant number, since it is smaller than the sum of its proper divisors (14792404608).

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

6131564640 is a wasteful number, since it uses less digits than its factorization.

6131564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258052 (or 4258041 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6131564640 is about 78304.3079274697. The cubic root of 6131564640 is about 1830.3062821584.

It can be divided in two parts, 613156 and 4640, that added together give a square (617796 = 786²).

The spelling of 6131564640 in words is "six billion, one hundred thirty-one million, five hundred sixty-four thousand, six hundred forty".