6612638400 has 252 divisors, whose sum is σ = 24740895400. Its totient is φ = 1670492160.

The previous prime is 6612638399. The next prime is 6612638429. The reversal of 6612638400 is 48362166.

6612638400 is a `hidden beast` number, since 6 + 6 + 12 + 638 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 261516 + ... + 285684.

Almost surely, 2^6612638400 is an apocalyptic number.

6612638400 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 6612638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370447700).

6612638400 is an abundant number, since it is smaller than the sum of its proper divisors (18128257000).

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

6612638400 is a wasteful number, since it uses less digits than its factorization.

6612638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24216 (or 24198 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6612638400 is about 81318.1308196395. The cubic root of 6612638400 is about 1876.9740063634.

The spelling of 6612638400 in words is "six billion, six hundred twelve million, six hundred thirty-eight thousand, four hundred".