475130073600 has 1440 divisors, whose sum is σ = 2129920176384. Its totient is φ = 98471116800.

The previous prime is 475130073529. The next prime is 475130073623. The reversal of 475130073600 is 6370031574.

475130073600 is a `hidden beast` number, since 47 + 5 + 1 + 3 + 0 + 0 + 7 + 3 + 600 = 666.

475130073600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 639474829 + ... + 639475571.

Almost surely, 2^475130073600 is an apocalyptic number.

475130073600 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 475130073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064960088192).

475130073600 is an abundant number, since it is smaller than the sum of its proper divisors (1654790102784).

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

475130073600 is a wasteful number, since it uses less digits than its factorization.

475130073600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 475130073600 in words is "four hundred seventy-five billion, one hundred thirty million, seventy-three thousand, six hundred".