472724222880 has 1152 divisors, whose sum is σ = 1964035454976. Its totient is φ = 94600396800.

The previous prime is 472724222879. The next prime is 472724222891. The reversal of 472724222880 is 88222427274.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 502363210 + ... + 502364150.

It is an arithmetic number, because the mean of its divisors is an integer number (1704891888).

Almost surely, 2^472724222880 is an apocalyptic number.

472724222880 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 472724222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982017727488).

472724222880 is an abundant number, since it is smaller than the sum of its proper divisors (1491311232096).

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

472724222880 is a wasteful number, since it uses less digits than its factorization.

472724222880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 1605632, while the sum is 48.

The spelling of 472724222880 in words is "four hundred seventy-two billion, seven hundred twenty-four million, two hundred twenty-two thousand, eight hundred eighty".