472613356800 has 1080 divisors, whose sum is σ = 1981470851360. Its totient is φ = 110182809600.

The previous prime is 472613356777. The next prime is 472613356811. The reversal of 472613356800 is 8653316274.

472613356800 is a `hidden beast` number, since 4 + 72 + 6 + 13 + 3 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 128042955 + ... + 128046645.

Almost surely, 2^472613356800 is an apocalyptic number.

472613356800 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 472613356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990735425680).

472613356800 is an abundant number, since it is smaller than the sum of its proper divisors (1508857494560).

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

472613356800 is a wasteful number, since it uses less digits than its factorization.

472613356800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3733 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 472613356800 in words is "four hundred seventy-two billion, six hundred thirteen million, three hundred fifty-six thousand, eight hundred".