6117080203920 has 320 divisors, whose sum is σ = 22817019617280. Its totient is φ = 1324342462464.

The previous prime is 6117080203903. The next prime is 6117080203921. The reversal of 6117080203920 is 293020807116.

It is not an unprimeable number, because it can be changed into a prime (6117080203921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195749737 + ... + 195780983.

It is an arithmetic number, because the mean of its divisors is an integer number (71303186304).

Almost surely, 2^{6117080203920} is an apocalyptic number.

6117080203920 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 6117080203920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11408509808640).

6117080203920 is an abundant number, since it is smaller than the sum of its proper divisors (16699939413360).

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

6117080203920 is a wasteful number, since it uses less digits than its factorization.

6117080203920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37422 (or 37416 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 6117080203920 in words is "six trillion, one hundred seventeen billion, eighty million, two hundred three thousand, nine hundred twenty".