472713742080 has 432 divisors, whose sum is σ = 1667609614944. Its totient is φ = 123609907200.

The previous prime is 472713742079. The next prime is 472713742091. The reversal of 472713742080 is 80247317274.

472713742080 is a `hidden beast` number, since 4 + 7 + 2 + 71 + 374 + 208 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124494742 + ... + 124498538.

It is an arithmetic number, because the mean of its divisors is an integer number (3860207442).

Almost surely, 2^472713742080 is an apocalyptic number.

472713742080 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 472713742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833804807472).

472713742080 is an abundant number, since it is smaller than the sum of its proper divisors (1194895872864).

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

472713742080 is a wasteful number, since it uses less digits than its factorization.

472713742080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 472713742080 in words is "four hundred seventy-two billion, seven hundred thirteen million, seven hundred forty-two thousand, eighty".