472806367488 has 1080 divisors, whose sum is σ = 1848692267968. Its totient is φ = 117361115136.

The previous prime is 472806367417. The next prime is 472806367507. The reversal of 472806367488 is 884763608274.

472806367488 is a `hidden beast` number, since 4 + 72 + 80 + 6 + 3 + 6 + 7 + 488 = 666.

It is a super-2 number, since 2×472806367488² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 27812139256 + ... + 27812139272.

Almost surely, 2^472806367488 is an apocalyptic number.

472806367488 is a gapful number since it is divisible by the number (48) 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 472806367488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924346133984).

472806367488 is an abundant number, since it is smaller than the sum of its proper divisors (1375885900480).

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

472806367488 is an frugal number, since it uses more digits than its factorization.

472806367488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 472806367488 in words is "four hundred seventy-two billion, eight hundred six million, three hundred sixty-seven thousand, four hundred eighty-eight".