6338872560 has 160 divisors (see below), whose sum is σ = 20833523712. Its totient is φ = 1591557120.

The previous prime is 6338872541. The next prime is 6338872571. The reversal of 6338872560 is 652788336.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263767 + ... + 286793.

Almost surely, 2^6338872560 is an apocalyptic number.

6338872560 is a gapful number since it is divisible by the number (60) 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 6338872560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416761856).

6338872560 is an abundant number, since it is smaller than the sum of its proper divisors (14494651152).

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

6338872560 is a wasteful number, since it uses less digits than its factorization.

6338872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23111 (or 23105 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 6338872560 is about 79617.0368702579. The cubic root of 6338872560 is about 1850.7056047164.

The spelling of 6338872560 in words is "six billion, three hundred thirty-eight million, eight hundred seventy-two thousand, five hundred sixty".