6013712640 has 288 divisors, whose sum is σ = 20830158720. Its totient is φ = 1469841408.

The previous prime is 6013712623. The next prime is 6013712689. The reversal of 6013712640 is 462173106.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6013712598 and 6013712607.

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, 8935344 + ... + 8936016.

It is an arithmetic number, because the mean of its divisors is an integer number (72326940).

Almost surely, 2^6013712640 is an apocalyptic number.

6013712640 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 6013712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10415079360).

6013712640 is an abundant number, since it is smaller than the sum of its proper divisors (14816446080).

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

6013712640 is a wasteful number, since it uses less digits than its factorization.

6013712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 6013712640 is about 77548.1311186801. The cubic root of 6013712640 is about 1818.5038462817.

Adding to 6013712640 its reverse (462173106), we get a palindrome (6475885746).

The spelling of 6013712640 in words is "six billion, thirteen million, seven hundred twelve thousand, six hundred forty".