6140271525744 has 160 divisors (see below), whose sum is σ = 16598666188800. Its totient is φ = 1953671639040.

The previous prime is 6140271525721. The next prime is 6140271525763. The reversal of 6140271525744 is 4475251720416.

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

It is a junction number, because it is equal to n+sod(n) for n = 6140271525693 and 6140271525702.

It is a congruent number.

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, 54108007 + ... + 54221369.

It is an arithmetic number, because the mean of its divisors is an integer number (103741663680).

Almost surely, 2^{6140271525744} 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 6140271525744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299333094400).

6140271525744 is an abundant number, since it is smaller than the sum of its proper divisors (10458394663056).

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

6140271525744 is a wasteful number, since it uses less digits than its factorization.

6140271525744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113903 (or 113897 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 6140271525744 in words is "six trillion, one hundred forty billion, two hundred seventy-one million, five hundred twenty-five thousand, seven hundred forty-four".