500727744000 has 960 divisors, whose sum is σ = 2041051364352. Its totient is φ = 121347072000.

The previous prime is 500727743951. The next prime is 500727744007. The reversal of 500727744000 is 447727005.

It is a happy number.

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

It is a super-2 number, since 2×500727744000² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (500727744007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171070537 + ... + 171073463.

Almost surely, 2^500727744000 is an apocalyptic number.

500727744000 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 500727744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020525682176).

500727744000 is an abundant number, since it is smaller than the sum of its proper divisors (1540323620352).

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

500727744000 is an equidigital number, since it uses as much as digits as its factorization.

500727744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The spelling of 500727744000 in words is "five hundred billion, seven hundred twenty-seven million, seven hundred forty-four thousand".