6364630272 has 576 divisors, whose sum is σ = 24130842624. Its totient is φ = 1433272320.

The previous prime is 6364630271. The next prime is 6364630291. The reversal of 6364630272 is 2720364636.

It is a super-3 number, since 3×6364630272³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 6364630272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6364630271) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13068813 + ... + 13069299.

It is an arithmetic number, because the mean of its divisors is an integer number (41893824).

Almost surely, 2^6364630272 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 6364630272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12065421312).

6364630272 is an abundant number, since it is smaller than the sum of its proper divisors (17766212352).

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

6364630272 is a wasteful number, since it uses less digits than its factorization.

6364630272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 6364630272 is about 79778.6329288739. The cubic root of 6364630272 is about 1853.2089688760.

It can be divided in two parts, 6364 and 630272, that added together give a palindrome (636636).

The spelling of 6364630272 in words is "six billion, three hundred sixty-four million, six hundred thirty thousand, two hundred seventy-two".