472512000201264 has 240 divisors, whose sum is σ = 1343471461323264. Its totient is φ = 154999863244800.

The previous prime is 472512000201257. The next prime is 472512000201337. The reversal of 472512000201264 is 462102000215274.

472512000201264 is a `hidden beast` number, since 4 + 72 + 5 + 120 + 0 + 0 + 201 + 264 = 666.

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 47 ways as a sum of consecutive naturals, for example, 28053901227 + ... + 28053918069.

Almost surely, 2^{472512000201264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472512000201264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671735730661632).

472512000201264 is an abundant number, since it is smaller than the sum of its proper divisors (870959461122000).

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

472512000201264 is a wasteful number, since it uses less digits than its factorization.

472512000201264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21816 (or 21807 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 472512000201264 in words is "four hundred seventy-two trillion, five hundred twelve billion, two hundred one thousand, two hundred sixty-four".