6460675200 has 576 divisors, whose sum is σ = 26768227200. Its totient is φ = 1453178880.

The previous prime is 6460675099. The next prime is 6460675211. The reversal of 6460675200 is 25760646.

6460675200 is a `hidden beast` number, since 646 + 0 + 6 + 7 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14716581 + ... + 14717019.

Almost surely, 2^6460675200 is an apocalyptic number.

6460675200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6460675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13384113600).

6460675200 is an abundant number, since it is smaller than the sum of its proper divisors (20307552000).

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

6460675200 is a wasteful number, since it uses less digits than its factorization.

6460675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6460675200 is about 80378.3254366499. The cubic root of 6460675200 is about 1862.4843666390.

The spelling of 6460675200 in words is "six billion, four hundred sixty million, six hundred seventy-five thousand, two hundred".