666202400 has 72 divisors (see below), whose sum is σ = 1678892544. Its totient is φ = 257875200.

The previous prime is 666202391. The next prime is 666202417. The reversal of 666202400 is 4202666.

It is a self number, because there is not a number n which added to its sum of digits gives 666202400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11369 + ... + 38231.

It is an arithmetic number, because the mean of its divisors is an integer number (23317952).

Almost surely, 2^666202400 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 666202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839446272).

666202400 is an abundant number, since it is smaller than the sum of its proper divisors (1012690144).

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

666202400 is a wasteful number, since it uses less digits than its factorization.

666202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26914 (or 26901 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 666202400 is about 25810.8969235864. The cubic root of 666202400 is about 873.3776304992.

The spelling of 666202400 in words is "six hundred sixty-six million, two hundred two thousand, four hundred".