6630193152 has 288 divisors, whose sum is σ = 21318701040. Its totient is φ = 1968046080.

The previous prime is 6630193093. The next prime is 6630193153. The reversal of 6630193152 is 2513910366.

6630193152 is a `hidden beast` number, since 6 + 630 + 1 + 9 + 3 + 15 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×6630193152² = 87918922465655390208, 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 not an unprimeable number, because it can be changed into a prime (6630193153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10745548 + ... + 10746164.

Almost surely, 2^6630193152 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 6630193152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10659350520).

6630193152 is an abundant number, since it is smaller than the sum of its proper divisors (14688507888).

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

6630193152 is a wasteful number, since it uses less digits than its factorization.

6630193152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6630193152 is about 81425.9980104635. The cubic root of 6630193152 is about 1878.6334901447.

The spelling of 6630193152 in words is "six billion, six hundred thirty million, one hundred ninety-three thousand, one hundred fifty-two".