506784377124 has 36 divisors (see below), whose sum is σ = 1312283126700. Its totient is φ = 164807927040.

The previous prime is 506784377117. The next prime is 506784377129. The reversal of 506784377124 is 421773487605.

506784377124 is a `hidden beast` number, since 50 + 6 + 78 + 437 + 71 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 104308329024 + 402476048100 = 322968^2 + 634410^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×506784377124² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506784377129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171673449 + ... + 171676400.

It is an arithmetic number, because the mean of its divisors is an integer number (36452309075).

Almost surely, 2^506784377124 is an apocalyptic number.

It is an amenable number.

506784377124 is an abundant number, since it is smaller than the sum of its proper divisors (805498749576).

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

506784377124 is a wasteful number, since it uses less digits than its factorization.

506784377124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343349900 (or 343349895 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 506784377124 in words is "five hundred six billion, seven hundred eighty-four million, three hundred seventy-seven thousand, one hundred twenty-four".