500661734400 has 1056 divisors, whose sum is σ = 1967674656000. Its totient is φ = 124376186880.

The previous prime is 500661734393. The next prime is 500661734423. The reversal of 500661734400 is 4437166005.

It is a happy number.

500661734400 is a `hidden beast` number, since 5 + 0 + 0 + 6 + 617 + 34 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×500661734400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 879897316 + ... + 879897884.

Almost surely, 2^500661734400 is an apocalyptic number.

500661734400 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 500661734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983837328000).

500661734400 is an abundant number, since it is smaller than the sum of its proper divisors (1467012921600).

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

500661734400 is a wasteful number, since it uses less digits than its factorization.

500661734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 500661734400 in words is "five hundred billion, six hundred sixty-one million, seven hundred thirty-four thousand, four hundred".