6630369900 has 576 divisors, whose sum is σ = 25342377984. Its totient is φ = 1298304000.

The previous prime is 6630369881. The next prime is 6630369961. The reversal of 6630369900 is 99630366.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 33656602 + ... + 33656798.

It is an arithmetic number, because the mean of its divisors is an integer number (43997184).

Almost surely, 2^6630369900 is an apocalyptic number.

6630369900 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 6630369900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671188992).

6630369900 is an abundant number, since it is smaller than the sum of its proper divisors (18712008084).

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

6630369900 is a wasteful number, since it uses less digits than its factorization.

6630369900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 42.

The square root of 6630369900 is about 81427.0833322673. The cubic root of 6630369900 is about 1878.6501835629.

The spelling of 6630369900 in words is "six billion, six hundred thirty million, three hundred sixty-nine thousand, nine hundred".