472578067584 has 256 divisors, whose sum is σ = 1595568537600. Its totient is φ = 134890583040.

The previous prime is 472578067553. The next prime is 472578067679. The reversal of 472578067584 is 485760875274.

It is a happy number.

472578067584 is a `hidden beast` number, since 4 + 7 + 2 + 578 + 0 + 6 + 7 + 58 + 4 = 666.

It is a super-3 number, since 3×472578067584³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 31 ways as a sum of consecutive naturals, for example, 26287719 + ... + 26305689.

It is an arithmetic number, because the mean of its divisors is an integer number (6232689600).

Almost surely, 2^472578067584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472578067584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797784268800).

472578067584 is an abundant number, since it is smaller than the sum of its proper divisors (1122990470016).

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

472578067584 is a wasteful number, since it uses less digits than its factorization.

472578067584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19088 (or 19070 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 472578067584 in words is "four hundred seventy-two billion, five hundred seventy-eight million, sixty-seven thousand, five hundred eighty-four".