6640972800 has 528 divisors, whose sum is σ = 27389056512. Its totient is φ = 1378713600.

The previous prime is 6640972753. The next prime is 6640972817. The reversal of 6640972800 is 82790466.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 5913039 + ... + 5914161.

Almost surely, 2^6640972800 is an apocalyptic number.

6640972800 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 6640972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13694528256).

6640972800 is an abundant number, since it is smaller than the sum of its proper divisors (20748083712).

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

6640972800 is a wasteful number, since it uses less digits than its factorization.

6640972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 6640972800 is about 81492.1640404769. The cubic root of 6640972800 is about 1879.6510594272.

The spelling of 6640972800 in words is "six billion, six hundred forty million, nine hundred seventy-two thousand, eight hundred".