506562362464 has 48 divisors (see below), whose sum is σ = 1014338578176. Its totient is φ = 248958259200.

The previous prime is 506562362399. The next prime is 506562362473. The reversal of 506562362464 is 464263265605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2783184 + ... + 2959600.

It is an arithmetic number, because the mean of its divisors is an integer number (21132053712).

Almost surely, 2^506562362464 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 506562362464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507169289088).

506562362464 is an abundant number, since it is smaller than the sum of its proper divisors (507776215712).

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

506562362464 is a wasteful number, since it uses less digits than its factorization.

506562362464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177959 (or 177951 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 506562362464 in words is "five hundred six billion, five hundred sixty-two million, three hundred sixty-two thousand, four hundred sixty-four".