425664460800 has 432 divisors, whose sum is σ = 1580959827720. Its totient is φ = 113507205120.

The previous prime is 425664460777. The next prime is 425664460807. The reversal of 425664460800 is 8064466524.

425664460800 is a `hidden beast` number, since 4 + 2 + 56 + 64 + 460 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425664460807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12424494 + ... + 12458706.

Almost surely, 2^425664460800 is an apocalyptic number.

425664460800 is a gapful number since it is divisible by the number (40) 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 425664460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790479913860).

425664460800 is an abundant number, since it is smaller than the sum of its proper divisors (1155295366920).

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

425664460800 is an equidigital number, since it uses as much as digits as its factorization.

425664460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34260 (or 34223 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 425664460800 in words is "four hundred twenty-five billion, six hundred sixty-four million, four hundred sixty thousand, eight hundred".