6646652100 has 288 divisors, whose sum is σ = 24117206400. Its totient is φ = 1555545600.

The previous prime is 6646652083. The next prime is 6646652101. The reversal of 6646652100 is 12566466.

It is a happy number.

6646652100 is a `hidden beast` number, since 6 + 646 + 6 + 5 + 2 + 1 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6646652101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 857442 + ... + 865158.

It is an arithmetic number, because the mean of its divisors is an integer number (83740300).

Almost surely, 2^6646652100 is an apocalyptic number.

6646652100 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 6646652100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12058603200).

6646652100 is an abundant number, since it is smaller than the sum of its proper divisors (17470554300).

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

6646652100 is a wasteful number, since it uses less digits than its factorization.

6646652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780 (or 7767 counting only the distinct ones).

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

The square root of 6646652100 is about 81527.0022753198. The cubic root of 6646652100 is about 1880.1867269639.

The spelling of 6646652100 in words is "six billion, six hundred forty-six million, six hundred fifty-two thousand, one hundred".