6009552864 has 576 divisors, whose sum is σ = 22246963200. Its totient is φ = 1567641600.

The previous prime is 6009552863. The next prime is 6009552877. The reversal of 6009552864 is 4682559006.

6009552864 is a `hidden beast` number, since 60 + 0 + 9 + 5 + 528 + 64 = 666.

It is a super-2 number, since 2×6009552864² = 72229451250421204992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6009552863) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24935784 + ... + 24936024.

It is an arithmetic number, because the mean of its divisors is an integer number (38623200).

Almost surely, 2^6009552864 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 6009552864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11123481600).

6009552864 is an abundant number, since it is smaller than the sum of its proper divisors (16237410336).

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

6009552864 is a wasteful number, since it uses less digits than its factorization.

6009552864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 6009552864 is about 77521.3058713538. The cubic root of 6009552864 is about 1818.0844540274.

The spelling of 6009552864 in words is "six billion, nine million, five hundred fifty-two thousand, eight hundred sixty-four".