506668198400 has 480 divisors, whose sum is σ = 1552047412608. Its totient is φ = 159621120000.

The previous prime is 506668198391. The next prime is 506668198427. The reversal of 506668198400 is 4891866605.

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, 292363934 + ... + 292365666.

Almost surely, 2^506668198400 is an apocalyptic number.

506668198400 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 506668198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776023706304).

506668198400 is an abundant number, since it is smaller than the sum of its proper divisors (1045379214208).

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

506668198400 is a wasteful number, since it uses less digits than its factorization.

506668198400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2011 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 506668198400 in words is "five hundred six billion, six hundred sixty-eight million, one hundred ninety-eight thousand, four hundred".