6442732800 has 972 divisors, whose sum is σ = 28698822880. Its totient is φ = 1347010560.

The previous prime is 6442732783. The next prime is 6442732801. The reversal of 6442732800 is 82372446.

6442732800 is a `hidden beast` number, since 644 + 2 + 7 + 3 + 2 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6442732801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 222163186 + ... + 222163214.

Almost surely, 2^6442732800 is an apocalyptic number.

6442732800 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 6442732800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349411440).

6442732800 is an abundant number, since it is smaller than the sum of its proper divisors (22256090080).

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

6442732800 is a wasteful number, since it uses less digits than its factorization.

6442732800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6442732800 is about 80266.6356589087. The cubic root of 6442732800 is about 1860.7586222136.

The spelling of 6442732800 in words is "six billion, four hundred forty-two million, seven hundred thirty-two thousand, eight hundred".