500904368640 has 960 divisors, whose sum is σ = 1957544709120. Its totient is φ = 117528330240.

The previous prime is 500904368621. The next prime is 500904368659. The reversal of 500904368640 is 46863409005.

500904368640 is a `hidden beast` number, since 50 + 0 + 90 + 436 + 86 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (500904368621) and next prime (500904368659).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 677813391 + ... + 677814129.

It is an arithmetic number, because the mean of its divisors is an integer number (2039109072).

Almost surely, 2^500904368640 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 500904368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978772354560).

500904368640 is an abundant number, since it is smaller than the sum of its proper divisors (1456640340480).

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

500904368640 is a wasteful number, since it uses less digits than its factorization.

500904368640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 500904368640 in words is "five hundred billion, nine hundred four million, three hundred sixty-eight thousand, six hundred forty".