6604964100 has 576 divisors, whose sum is σ = 26193323520. Its totient is φ = 1393459200.

The previous prime is 6604964081. The next prime is 6604964137. The reversal of 6604964100 is 14694066.

6604964100 is a `hidden beast` number, since 6 + 6 + 0 + 4 + 9 + 641 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19599132 + ... + 19599468.

It is an arithmetic number, because the mean of its divisors is an integer number (45474520).

Almost surely, 2^6604964100 is an apocalyptic number.

6604964100 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 6604964100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13096661760).

6604964100 is an abundant number, since it is smaller than the sum of its proper divisors (19588359420).

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

6604964100 is a wasteful number, since it uses less digits than its factorization.

6604964100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6604964100 is about 81270.9302272344. The cubic root of 6604964100 is about 1876.2476176560.

The spelling of 6604964100 in words is "six billion, six hundred four million, nine hundred sixty-four thousand, one hundred".