6630662263200 has 288 divisors, whose sum is σ = 21771204053760. Its totient is φ = 1752795033600.

The previous prime is 6630662263189. The next prime is 6630662263279. The reversal of 6630662263200 is 23622660366.

It is a super-3 number, since 3×6630662263200³ (a number of 39 digits) contains 333 as substring.

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 47 ways as a sum of consecutive naturals, for example, 162380386 + ... + 162421214.

It is an arithmetic number, because the mean of its divisors is an integer number (75594458520).

Almost surely, 2^{6630662263200} is an apocalyptic number.

6630662263200 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 6630662263200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10885602026880).

6630662263200 is an abundant number, since it is smaller than the sum of its proper divisors (15140541790560).

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

6630662263200 is a wasteful number, since it uses less digits than its factorization.

6630662263200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41440 (or 41427 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 42.

The spelling of 6630662263200 in words is "six trillion, six hundred thirty billion, six hundred sixty-two million, two hundred sixty-three thousand, two hundred".