6368573328 has 160 divisors (see below), whose sum is σ = 18009264000. Its totient is φ = 1927618560.

The previous prime is 6368573297. The next prime is 6368573359. The reversal of 6368573328 is 8233758636.

It is an interprime number because it is at equal distance from previous prime (6368573297) and next prime (6368573359).

It is a super-3 number, since 3×6368573328³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12762423 + ... + 12762921.

It is an arithmetic number, because the mean of its divisors is an integer number (112557900).

Almost surely, 2^6368573328 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 6368573328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9004632000).

6368573328 is an abundant number, since it is smaller than the sum of its proper divisors (11640690672).

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

6368573328 is a wasteful number, since it uses less digits than its factorization.

6368573328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 811 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 6368573328 is about 79803.3415841718. The cubic root of 6368573328 is about 1853.5915937853.

The spelling of 6368573328 in words is "six billion, three hundred sixty-eight million, five hundred seventy-three thousand, three hundred twenty-eight".