6652944000 has 384 divisors, whose sum is σ = 24425556480. Its totient is φ = 1734604800.

The previous prime is 6652943981. The next prime is 6652944037. The reversal of 6652944000 is 4492566.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6767509 + ... + 6768491.

It is an arithmetic number, because the mean of its divisors is an integer number (63608220).

Almost surely, 2^6652944000 is an apocalyptic number.

6652944000 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 6652944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12212778240).

6652944000 is an abundant number, since it is smaller than the sum of its proper divisors (17772612480).

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

6652944000 is a wasteful number, since it uses less digits than its factorization.

6652944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6652944000 is about 81565.5809762917. The cubic root of 6652944000 is about 1880.7798183330.

The spelling of 6652944000 in words is "six billion, six hundred fifty-two million, nine hundred forty-four thousand".