506904128784 has 75 divisors (see below), whose sum is σ = 1467201800757. Its totient is φ = 168959499264.

The previous prime is 506904128771. The next prime is 506904128813. The reversal of 506904128784 is 487821409605.

It is a happy number.

The square root of 506904128784 is 711972.

It is a perfect power (a square), and thus also a powerful number.

506904128784 is a `hidden beast` number, since 506 + 9 + 0 + 4 + 128 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 236370992400 + 270533136384 = 486180^2 + 520128^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 506904128784.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25621104 + ... + 25640880.

Almost surely, 2^506904128784 is an apocalyptic number.

506904128784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

506904128784 is the 711972-nd square number.

It is an amenable number.

506904128784 is an abundant number, since it is smaller than the sum of its proper divisors (960297671973).

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

506904128784 is an frugal number, since it uses more digits than its factorization.

506904128784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39574 (or 19782 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 506904128784 in words is "five hundred six billion, nine hundred four million, one hundred twenty-eight thousand, seven hundred eighty-four".