472415908536 has 768 divisors, whose sum is σ = 1612567756800. Its totient is φ = 122947891200.

The previous prime is 472415908493. The next prime is 472415908589. The reversal of 472415908536 is 635809514274.

It is a happy number.

472415908536 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 15 + 90 + 8 + 536 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1287236625 + ... + 1287236991.

It is an arithmetic number, because the mean of its divisors is an integer number (2099697600).

It is a 1-persistent number, because it is pandigital, but 2⋅472415908536 = 944831817072 is not.

Almost surely, 2^472415908536 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 472415908536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806283878400).

472415908536 is an abundant number, since it is smaller than the sum of its proper divisors (1140151848264).

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

472415908536 is a wasteful number, since it uses less digits than its factorization.

472415908536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 472415908536 in words is "four hundred seventy-two billion, four hundred fifteen million, nine hundred eight thousand, five hundred thirty-six".