472642204320 has 1728 divisors, whose sum is σ = 2023804403712. Its totient is φ = 99632332800.

The previous prime is 472642204231. The next prime is 472642204361. The reversal of 472642204320 is 23402246274.

472642204320 is a `hidden beast` number, since 4 + 7 + 2 + 642 + 2 + 0 + 4 + 3 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3721592097 + ... + 3721592223.

It is an arithmetic number, because the mean of its divisors is an integer number (1171183104).

Almost surely, 2^472642204320 is an apocalyptic number.

472642204320 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 472642204320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011902201856).

472642204320 is an abundant number, since it is smaller than the sum of its proper divisors (1551162199392).

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

472642204320 is a wasteful number, since it uses less digits than its factorization.

472642204320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The spelling of 472642204320 in words is "four hundred seventy-two billion, six hundred forty-two million, two hundred four thousand, three hundred twenty".