6630204672 has 576 divisors, whose sum is σ = 24614338560. Its totient is φ = 1713954816.

The previous prime is 6630204661. The next prime is 6630204703. The reversal of 6630204672 is 2764020366.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×6630204672² = 87919227985221255168, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 52206273 + ... + 52206399.

Almost surely, 2^6630204672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6630204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307169280).

6630204672 is an abundant number, since it is smaller than the sum of its proper divisors (17984133888).

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

6630204672 is a wasteful number, since it uses less digits than its factorization.

6630204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 6630204672 is about 81426.0687495104. The cubic root of 6630204672 is about 1878.6345781897.

The spelling of 6630204672 in words is "six billion, six hundred thirty million, two hundred four thousand, six hundred seventy-two".