6139830240 has 576 divisors, whose sum is σ = 23595909120. Its totient is φ = 1489259520.

The previous prime is 6139830217. The next prime is 6139830241. The reversal of 6139830240 is 420389316.

6139830240 is a `hidden beast` number, since 613 + 9 + 8 + 30 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6139830195 and 6139830204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6139830241) 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, 48345057 + ... + 48345183.

It is an arithmetic number, because the mean of its divisors is an integer number (40965120).

Almost surely, 2^6139830240 is an apocalyptic number.

6139830240 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 6139830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797954560).

6139830240 is an abundant number, since it is smaller than the sum of its proper divisors (17456078880).

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

6139830240 is a wasteful number, since it uses less digits than its factorization.

6139830240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6139830240 is about 78357.0688578893. The cubic root of 6139830240 is about 1831.1283554572.

The spelling of 6139830240 in words is "six billion, one hundred thirty-nine million, eight hundred thirty thousand, two hundred forty".