6139966560 has 576 divisors, whose sum is σ = 24845812992. Its totient is φ = 1262628864.

The previous prime is 6139966543. The next prime is 6139966561. The reversal of 6139966560 is 656699316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6139966561) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 13147447 + ... + 13147913.

It is an arithmetic number, because the mean of its divisors is an integer number (43135092).

Almost surely, 2^6139966560 is an apocalyptic number.

6139966560 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 6139966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12422906496).

6139966560 is an abundant number, since it is smaller than the sum of its proper divisors (18705846432).

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

6139966560 is a wasteful number, since it uses less digits than its factorization.

6139966560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 51.

The square root of 6139966560 is about 78357.9387171459. The cubic root of 6139966560 is about 1831.1419072744.

The spelling of 6139966560 in words is "six billion, one hundred thirty-nine million, nine hundred sixty-six thousand, five hundred sixty".