6612200640 has 448 divisors, whose sum is σ = 25105766400. Its totient is φ = 1633001472.

The previous prime is 6612200629. The next prime is 6612200641. The reversal of 6612200640 is 460022166.

It is a happy number.

6612200640 is a `hidden beast` number, since 6 + 6 + 12 + 2 + 0 + 0 + 640 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6612200641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7715092 + ... + 7715948.

Almost surely, 2^6612200640 is an apocalyptic number.

6612200640 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 6612200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12552883200).

6612200640 is an abundant number, since it is smaller than the sum of its proper divisors (18493565760).

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

6612200640 is a wasteful number, since it uses less digits than its factorization.

6612200640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6612200640 is about 81315.4391244369. The cubic root of 6612200640 is about 1876.9325865738.

The spelling of 6612200640 in words is "six billion, six hundred twelve million, two hundred thousand, six hundred forty".