6009531264 has 640 divisors, whose sum is σ = 21326976000. Its totient is φ = 1660538880.

The previous prime is 6009531259. The next prime is 6009531271. The reversal of 6009531264 is 4621359006.

It is a happy number.

6009531264 is a `hidden beast` number, since 60 + 0 + 9 + 531 + 2 + 64 = 666.

It is a super-2 number, since 2×6009531264² = 72228932025986875392, 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 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 79 ways as a sum of consecutive naturals, for example, 76069977 + ... + 76070055.

It is an arithmetic number, because the mean of its divisors is an integer number (33323400).

Almost surely, 2^6009531264 is an apocalyptic number.

6009531264 is a gapful number since it is divisible by the number (64) 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 6009531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10663488000).

6009531264 is an abundant number, since it is smaller than the sum of its proper divisors (15317444736).

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

6009531264 is a wasteful number, since it uses less digits than its factorization.

6009531264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6009531264 is about 77521.1665546901. The cubic root of 6009531264 is about 1818.0822757915.

The spelling of 6009531264 in words is "six billion, nine million, five hundred thirty-one thousand, two hundred sixty-four".