6164407872 has 84 divisors (see below), whose sum is σ = 20193341376. Its totient is φ = 1761258240.

The previous prime is 6164407871. The next prime is 6164407883. The reversal of 6164407872 is 2787044616.

6164407872 is a `hidden beast` number, since 6 + 164 + 407 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (6164407871) 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 11 ways as a sum of consecutive naturals, for example, 760404 + ... + 768467.

Almost surely, 2^6164407872 is an apocalyptic number.

It is an amenable number.

6164407872 is an abundant number, since it is smaller than the sum of its proper divisors (14028933504).

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

6164407872 is a wasteful number, since it uses less digits than its factorization.

6164407872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528896 (or 1528883 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 6164407872 is about 78513.7432046135. The cubic root of 6164407872 is about 1833.5684273138.

The spelling of 6164407872 in words is "six billion, one hundred sixty-four million, four hundred seven thousand, eight hundred seventy-two".