472928892809760 has 192 divisors, whose sum is σ = 1655759387520000. Its totient is φ = 126075646642176.

The previous prime is 472928892809753. The next prime is 472928892809801. The reversal of 472928892809760 is 67908298829274.

472928892809760 is a `hidden beast` number, since 4 + 7 + 292 + 88 + 92 + 80 + 97 + 6 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 472928892809760.

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, 2735760 + ... + 30876239.

It is an arithmetic number, because the mean of its divisors is an integer number (8623746810000).

Almost surely, 2^{472928892809760} is an apocalyptic number.

472928892809760 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 472928892809760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827879693760000).

472928892809760 is an abundant number, since it is smaller than the sum of its proper divisors (1182830494710240).

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

472928892809760 is a wasteful number, since it uses less digits than its factorization.

472928892809760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33615280 (or 33615266 counting only the distinct ones).

The product of its (nonzero) digits is 3511517184, while the sum is 81.

The spelling of 472928892809760 in words is "four hundred seventy-two trillion, nine hundred twenty-eight billion, eight hundred ninety-two million, eight hundred nine thousand, seven hundred sixty".