6642518400 has 720 divisors, whose sum is σ = 28568891340. Its totient is φ = 1515386880.

The previous prime is 6642518329. The next prime is 6642518417. The reversal of 6642518400 is 48152466.

6642518400 is a `hidden beast` number, since 6 + 642 + 5 + 1 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 12700539 + ... + 12701061.

Almost surely, 2^6642518400 is an apocalyptic number.

6642518400 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 6642518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14284445670).

6642518400 is an abundant number, since it is smaller than the sum of its proper divisors (21926372940).

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

6642518400 is a wasteful number, since it uses less digits than its factorization.

6642518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 6642518400 is about 81501.6466091330. The cubic root of 6642518400 is about 1879.7968695574.

The spelling of 6642518400 in words is "six billion, six hundred forty-two million, five hundred eighteen thousand, four hundred".