6101117680 has 80 divisors (see below), whose sum is σ = 16247245824. Its totient is φ = 2087205120.

The previous prime is 6101117677. The next prime is 6101117689. The reversal of 6101117680 is 867111016.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6101117689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247515 + ... + 271045.

Almost surely, 2^6101117680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6101117680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8123622912).

6101117680 is an abundant number, since it is smaller than the sum of its proper divisors (10146128144).

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

6101117680 is a wasteful number, since it uses less digits than its factorization.

6101117680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24014 (or 24008 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 31.

The square root of 6101117680 is about 78109.6516443391. The cubic root of 6101117680 is about 1827.2717246027.

Adding to 6101117680 its reverse (867111016), we get a palindrome (6968228696).

The spelling of 6101117680 in words is "six billion, one hundred one million, one hundred seventeen thousand, six hundred eighty".