472082798588544 has 3072 divisors, whose sum is σ = 1751299507077120. Its totient is φ = 124630194585600.

The previous prime is 472082798588501. The next prime is 472082798588551. The reversal of 472082798588544 is 445885897280274.

472082798588544 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 8 + 27 + 9 + 8 + 588 + 5 + 4 + 4 = 666.

It is a super-3 number, since 3×472082798588544³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1265637529542 + ... + 1265637529914.

It is an arithmetic number, because the mean of its divisors is an integer number (570084474960).

Almost surely, 2^{472082798588544} is an apocalyptic number.

472082798588544 is a gapful number since it is divisible by the number (44) 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 472082798588544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875649753538560).

472082798588544 is an abundant number, since it is smaller than the sum of its proper divisors (1279216708488576).

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

472082798588544 is a wasteful number, since it uses less digits than its factorization.

472082798588544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 11560550400, while the sum is 81.

The spelling of 472082798588544 in words is "four hundred seventy-two trillion, eighty-two billion, seven hundred ninety-eight million, five hundred eighty-eight thousand, five hundred forty-four".