6643270368 has 288 divisors, whose sum is σ = 22029396480. Its totient is φ = 1860019200.

The previous prime is 6643270367. The next prime is 6643270369. The reversal of 6643270368 is 8630723466.

It is an interprime number because it is at equal distance from previous prime (6643270367) and next prime (6643270369).

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6643270367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42313746 + ... + 42313902.

It is an arithmetic number, because the mean of its divisors is an integer number (76490960).

Almost surely, 2^6643270368 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 6643270368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11014698240).

6643270368 is an abundant number, since it is smaller than the sum of its proper divisors (15386126112).

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

6643270368 is a wasteful number, since it uses less digits than its factorization.

6643270368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 6643270368 is about 81506.2596859898. The cubic root of 6643270368 is about 1879.8678011765.

The spelling of 6643270368 in words is "six billion, six hundred forty-three million, two hundred seventy thousand, three hundred sixty-eight".