6117748560 has 960 divisors, whose sum is σ = 27402246144. Its totient is φ = 1231718400.

The previous prime is 6117748523. The next prime is 6117748577. The reversal of 6117748560 is 658477116.

6117748560 is a `hidden beast` number, since 6 + 1 + 17 + 74 + 8 + 560 = 666.

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 191 ways as a sum of consecutive naturals, for example, 91309647 + ... + 91309713.

Almost surely, 2^6117748560 is an apocalyptic number.

6117748560 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 6117748560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701123072).

6117748560 is an abundant number, since it is smaller than the sum of its proper divisors (21284497584).

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

6117748560 is a wasteful number, since it uses less digits than its factorization.

6117748560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 6117748560 is about 78216.0377416294. The cubic root of 6117748560 is about 1828.9305226454.

The spelling of 6117748560 in words is "six billion, one hundred seventeen million, seven hundred forty-eight thousand, five hundred sixty".