6406407604800 has 504 divisors, whose sum is σ = 26030866237376. Its totient is φ = 1463863726080.

The previous prime is 6406407604789. The next prime is 6406407604813. The reversal of 6406407604800 is 84067046046.

6406407604800 is a `hidden beast` number, since 6 + 40 + 64 + 0 + 76 + 0 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 403494462 + ... + 403510338.

Almost surely, 2^{6406407604800} is an apocalyptic number.

6406407604800 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 6406407604800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015433118688).

6406407604800 is an abundant number, since it is smaller than the sum of its proper divisors (19624458632576).

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

6406407604800 is a wasteful number, since it uses less digits than its factorization.

6406407604800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19915 (or 19897 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 6406407604800 in words is "six trillion, four hundred six billion, four hundred seven million, six hundred four thousand, eight hundred".