6406064172 has 96 divisors (see below), whose sum is σ = 16911417600. Its totient is φ = 2122906320.

The previous prime is 6406064113. The next prime is 6406064183. The reversal of 6406064172 is 2714606046.

6406064172 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 0 + 641 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1563847 + ... + 1567937.

It is an arithmetic number, because the mean of its divisors is an integer number (176160600).

Almost surely, 2^6406064172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406064172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455708800).

6406064172 is an abundant number, since it is smaller than the sum of its proper divisors (10505353428).

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

6406064172 is a wasteful number, since it uses less digits than its factorization.

6406064172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4295 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6406064172 is about 80037.8921011792. The cubic root of 6406064172 is about 1857.2217523530.

The spelling of 6406064172 in words is "six billion, four hundred six million, sixty-four thousand, one hundred seventy-two".