6663056400 has 1080 divisors, whose sum is σ = 31784590656. Its totient is φ = 1248307200.

The previous prime is 6663056377. The next prime is 6663056431. The reversal of 6663056400 is 46503666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 154954779 + ... + 154954821.

Almost surely, 2^6663056400 is an apocalyptic number.

6663056400 is a gapful number since it is divisible by the number (60) 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 6663056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15892295328).

6663056400 is an abundant number, since it is smaller than the sum of its proper divisors (25121534256).

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

6663056400 is a wasteful number, since it uses less digits than its factorization.

6663056400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6663056400 is about 81627.5468209109. The cubic root of 6663056400 is about 1881.7322573154.

The spelling of 6663056400 in words is "six billion, six hundred sixty-three million, fifty-six thousand, four hundred".