6141566880 has 384 divisors, whose sum is σ = 22920226560. Its totient is φ = 1530593280.

The previous prime is 6141566861. The next prime is 6141567013. The reversal of 6141566880 is 886651416.

6141566880 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 566 + 8 + 80 = 666.

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

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, 17698867 + ... + 17699213.

It is an arithmetic number, because the mean of its divisors is an integer number (59688090).

Almost surely, 2^6141566880 is an apocalyptic number.

6141566880 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 6141566880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11460113280).

6141566880 is an abundant number, since it is smaller than the sum of its proper divisors (16778659680).

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

6141566880 is a wasteful number, since it uses less digits than its factorization.

6141566880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 6141566880 is about 78368.1496527767. The cubic root of 6141566880 is about 1831.3009829757.

The spelling of 6141566880 in words is "six billion, one hundred forty-one million, five hundred sixty-six thousand, eight hundred eighty".