500668646400 has 1584 divisors, whose sum is σ = 2064437950848. Its totient is φ = 119439360000.

The previous prime is 500668646371. The next prime is 500668646417. The reversal of 500668646400 is 4646866005.

500668646400 is a `hidden beast` number, since 50 + 0 + 66 + 86 + 464 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 3315686325 + ... + 3315686475.

Almost surely, 2^500668646400 is an apocalyptic number.

500668646400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 500668646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032218975424).

500668646400 is an abundant number, since it is smaller than the sum of its proper divisors (1563769304448).

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

500668646400 is a wasteful number, since it uses less digits than its factorization.

500668646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 500668646400 in words is "five hundred billion, six hundred sixty-eight million, six hundred forty-six thousand, four hundred".