6642729600 has 768 divisors, whose sum is σ = 26008335360. Its totient is φ = 1474560000.

The previous prime is 6642729571. The next prime is 6642729607. The reversal of 6642729600 is 69272466.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642729607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65769550 + ... + 65769650.

It is an arithmetic number, because the mean of its divisors is an integer number (33865020).

Almost surely, 2^6642729600 is an apocalyptic number.

6642729600 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 6642729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13004167680).

6642729600 is an abundant number, since it is smaller than the sum of its proper divisors (19365605760).

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

6642729600 is a wasteful number, since it uses less digits than its factorization.

6642729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 6642729600 is about 81502.9422781779. The cubic root of 6642729600 is about 1879.8167921664.

The spelling of 6642729600 in words is "six billion, six hundred forty-two million, seven hundred twenty-nine thousand, six hundred".