6116601882240 has 768 divisors, whose sum is σ = 22761608407200. Its totient is φ = 1508014817280.

The previous prime is 6116601882203. The next prime is 6116601882241. The reversal of 6116601882240 is 422881066116.

It is a happy number.

6116601882240 is a `hidden beast` number, since 6 + 1 + 16 + 601 + 8 + 8 + 2 + 24 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1189422144 + 6115412460096 = 34488^2 + 2472936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (6116601882241) 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, 1922853450 + ... + 1922856630.

Almost surely, 2^{6116601882240} is an apocalyptic number.

6116601882240 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 6116601882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11380804203600).

6116601882240 is an abundant number, since it is smaller than the sum of its proper divisors (16645006524960).

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

6116601882240 is a wasteful number, since it uses less digits than its factorization.

6116601882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3565 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 6116601882240 in words is "six trillion, one hundred sixteen billion, six hundred one million, eight hundred eighty-two thousand, two hundred forty".