6662118400 has 396 divisors, whose sum is σ = 19792492128. Its totient is φ = 2215772160.

The previous prime is 6662118349. The next prime is 6662118443. The reversal of 6662118400 is 48112666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58956744 + ... + 58956856.

Almost surely, 2^6662118400 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 6662118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9896246064).

6662118400 is an abundant number, since it is smaller than the sum of its proper divisors (13130373728).

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

6662118400 is a wasteful number, since it uses less digits than its factorization.

6662118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 6662118400 is about 81621.8010092892. The cubic root of 6662118400 is about 1881.6439521101.

The spelling of 6662118400 in words is "six billion, six hundred sixty-two million, one hundred eighteen thousand, four hundred".