6168986880 has 576 divisors, whose sum is σ = 24300380160. Its totient is φ = 1302331392.

The previous prime is 6168986849. The next prime is 6168986897. The reversal of 6168986880 is 886898616.

It is a happy number.

It is a super-2 number, since 2×6168986880² = 76112798251224268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24003712 + ... + 24003968.

It is an arithmetic number, because the mean of its divisors is an integer number (42188160).

Almost surely, 2^6168986880 is an apocalyptic number.

6168986880 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 6168986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12150190080).

6168986880 is an abundant number, since it is smaller than the sum of its proper divisors (18131393280).

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

6168986880 is a wasteful number, since it uses less digits than its factorization.

6168986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 60.

The square root of 6168986880 is about 78542.8983422435. The cubic root of 6168986880 is about 1834.0223150004.

The spelling of 6168986880 in words is "six billion, one hundred sixty-eight million, nine hundred eighty-six thousand, eight hundred eighty".