6101887680 has 896 divisors, whose sum is σ = 26334720000. Its totient is φ = 1327656960.

The previous prime is 6101887679. The next prime is 6101887691. The reversal of 6101887680 is 867881016.

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

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 127 ways as a sum of consecutive naturals, for example, 85942045 + ... + 85942115.

Almost surely, 2^6101887680 is an apocalyptic number.

6101887680 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 6101887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13167360000).

6101887680 is an abundant number, since it is smaller than the sum of its proper divisors (20232832320).

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

6101887680 is a wasteful number, since it uses less digits than its factorization.

6101887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 6101887680 is about 78114.5804571720. The cubic root of 6101887680 is about 1827.3485924880.

The spelling of 6101887680 in words is "six billion, one hundred one million, eight hundred eighty-seven thousand, six hundred eighty".