507646064448 has 168 divisors, whose sum is σ = 1530853626120. Its totient is φ = 160626032640.

The previous prime is 507646064441. The next prime is 507646064591. The reversal of 507646064448 is 844460646705.

It is a happy number.

507646064448 is a `hidden beast` number, since 50 + 76 + 460 + 64 + 4 + 4 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 861539904 + 506784524544 = 29352^2 + 711888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 507646064394 and 507646064403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507646064441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583308 + ... + 1164276.

It is an arithmetic number, because the mean of its divisors is an integer number (9112223965).

Almost surely, 2^507646064448 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 507646064448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765426813060).

507646064448 is an abundant number, since it is smaller than the sum of its proper divisors (1023207561672).

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

507646064448 is a wasteful number, since it uses less digits than its factorization.

507646064448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581065 (or 581052 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 507646064448 in words is "five hundred seven billion, six hundred forty-six million, sixty-four thousand, four hundred forty-eight".