507672199144 has 192 divisors, whose sum is σ = 1092785541120. Its totient is φ = 219127440000.

The previous prime is 507672198947. The next prime is 507672199183. The reversal of 507672199144 is 441991276705.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3362067469 + ... + 3362067619.

It is an arithmetic number, because the mean of its divisors is an integer number (5691591360).

Almost surely, 2^507672199144 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 507672199144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546392770560).

507672199144 is an abundant number, since it is smaller than the sum of its proper divisors (585113341976).

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

507672199144 is a wasteful number, since it uses less digits than its factorization.

507672199144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 55.

The spelling of 507672199144 in words is "five hundred seven billion, six hundred seventy-two million, one hundred ninety-nine thousand, one hundred forty-four".