6127116370740 has 72 divisors (see below), whose sum is σ = 18759283452000. Its totient is φ = 1618627621824.

The previous prime is 6127116370721. The next prime is 6127116370759. The reversal of 6127116370740 is 470736117216.

6127116370740 is a `hidden beast` number, since 6 + 1 + 2 + 7 + 1 + 1 + 637 + 0 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6127116370721) and next prime (6127116370759).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 159043990 + ... + 159082509.

It is an arithmetic number, because the mean of its divisors is an integer number (260545603500).

Almost surely, 2^{6127116370740} is an apocalyptic number.

6127116370740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6127116370740 is an abundant number, since it is smaller than the sum of its proper divisors (12632167081260).

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

6127116370740 is a wasteful number, since it uses less digits than its factorization.

6127116370740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318126621 (or 318126616 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 6127116370740 in words is "six trillion, one hundred twenty-seven billion, one hundred sixteen million, three hundred seventy thousand, seven hundred forty".