6117703680 has 480 divisors, whose sum is σ = 22346569728. Its totient is φ = 1415577600.

The previous prime is 6117703661. The next prime is 6117703681. The reversal of 6117703680 is 863077116.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (6117703681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83804124 + ... + 83804196.

Almost surely, 2^6117703680 is an apocalyptic number.

6117703680 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 6117703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173284864).

6117703680 is an abundant number, since it is smaller than the sum of its proper divisors (16228866048).

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

6117703680 is a wasteful number, since it uses less digits than its factorization.

6117703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 6117703680 is about 78215.7508434203. The cubic root of 6117703680 is about 1828.9260502701.

It can be divided in two parts, 61177036 and 80, that added together give a palindrome (61177116).

The spelling of 6117703680 in words is "six billion, one hundred seventeen million, seven hundred three thousand, six hundred eighty".