6189374880 has 432 divisors, whose sum is σ = 23686561080. Its totient is φ = 1469325312.

The previous prime is 6189374833. The next prime is 6189374899. The reversal of 6189374880 is 884739816.

It can be written as a sum of positive squares in 12 ways, for example, as 107246736 + 6082128144 = 10356^2 + 77988^2 .

It is a super-2 number, since 2×6189374880² = 76616722810350028800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7057002 + ... + 7057878.

Almost surely, 2^6189374880 is an apocalyptic number.

6189374880 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 6189374880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11843280540).

6189374880 is an abundant number, since it is smaller than the sum of its proper divisors (17497186200).

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

6189374880 is a wasteful number, since it uses less digits than its factorization.

6189374880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 6189374880 is about 78672.5802297090. The cubic root of 6189374880 is about 1836.0405248292.

The spelling of 6189374880 in words is "six billion, one hundred eighty-nine million, three hundred seventy-four thousand, eight hundred eighty".