472083064320 has 640 divisors, whose sum is σ = 1750377682944. Its totient is φ = 106319314944.

The previous prime is 472083064267. The next prime is 472083064351. The reversal of 472083064320 is 23460380274.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×472083064320² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1794992509 + ... + 1794992771.

Almost surely, 2^472083064320 is an apocalyptic number.

472083064320 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 472083064320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875188841472).

472083064320 is an abundant number, since it is smaller than the sum of its proper divisors (1278294618624).

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

472083064320 is a wasteful number, since it uses less digits than its factorization.

472083064320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 472083064320 in words is "four hundred seventy-two billion, eighty-three million, sixty-four thousand, three hundred twenty".