6652011600 has 600 divisors, whose sum is σ = 27251615160. Its totient is φ = 1539440640.

The previous prime is 6652011599. The next prime is 6652011629. The reversal of 6652011600 is 61102566.

It is a happy number.

6652011600 is a `hidden beast` number, since 6 + 6 + 52 + 0 + 1 + 1 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 4115479104 + 2536532496 = 64152^2 + 50364^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 7159936 + ... + 7160864.

Almost surely, 2^6652011600 is an apocalyptic number.

6652011600 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 6652011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625807580).

6652011600 is an abundant number, since it is smaller than the sum of its proper divisors (20599603560).

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

6652011600 is a wasteful number, since it uses less digits than its factorization.

6652011600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6652011600 is about 81559.8651298542. The cubic root of 6652011600 is about 1880.6919514161.

The spelling of 6652011600 in words is "six billion, six hundred fifty-two million, eleven thousand, six hundred".