500664287460960 has 1152 divisors, whose sum is σ = 2097535839759360. Its totient is φ = 106149857329152.

The previous prime is 500664287460917. The next prime is 500664287460971. The reversal of 500664287460960 is 69064782466005.

500664287460960 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 6 + 4 + 2 + 87 + 460 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3263131767 + ... + 3263285193.

It is an arithmetic number, because the mean of its divisors is an integer number (1820777638680).

Almost surely, 2^{500664287460960} 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 500664287460960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048767919879680).

500664287460960 is an abundant number, since it is smaller than the sum of its proper divisors (1596871552298400).

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

500664287460960 is a wasteful number, since it uses less digits than its factorization.

500664287460960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153748 (or 153737 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 500664287460960 in words is "five hundred trillion, six hundred sixty-four billion, two hundred eighty-seven million, four hundred sixty thousand, nine hundred sixty".