6644153152 has 224 divisors, whose sum is σ = 17086551552. Its totient is φ = 2491416576.

The previous prime is 6644153143. The next prime is 6644153161. The reversal of 6644153152 is 2513514466.

It is an interprime number because it is at equal distance from previous prime (6644153143) and next prime (6644153161).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6644153152² = 88289542214463070208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25852608 + ... + 25852864.

It is an arithmetic number, because the mean of its divisors is an integer number (76279248).

Almost surely, 2^6644153152 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 6644153152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8543275776).

6644153152 is an abundant number, since it is smaller than the sum of its proper divisors (10442398400).

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

6644153152 is a wasteful number, since it uses less digits than its factorization.

6644153152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 6644153152 is about 81511.6749429185. The cubic root of 6644153152 is about 1879.9510655740.

The spelling of 6644153152 in words is "six billion, six hundred forty-four million, one hundred fifty-three thousand, one hundred fifty-two".