6460407072 has 480 divisors, whose sum is σ = 23025606912. Its totient is φ = 1737179136.

The previous prime is 6460407059. The next prime is 6460407119. The reversal of 6460407072 is 2707040646.

6460407072 is a `hidden beast` number, since 646 + 0 + 4 + 0 + 7 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×6460407072² = 83473719071895226368, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47156188 + ... + 47156324.

Almost surely, 2^6460407072 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 6460407072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512803456).

6460407072 is an abundant number, since it is smaller than the sum of its proper divisors (16565199840).

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

6460407072 is a wasteful number, since it uses less digits than its factorization.

6460407072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6460407072 is about 80376.6575070151. The cubic root of 6460407072 is about 1862.4586009566.

The spelling of 6460407072 in words is "six billion, four hundred sixty million, four hundred seven thousand, seventy-two".