6141329280 has 224 divisors, whose sum is σ = 22014025560. Its totient is φ = 1637563392.

The previous prime is 6141329263. The next prime is 6141329297. The reversal of 6141329280 is 829231416.

6141329280 is a `hidden beast` number, since 614 + 1 + 32 + 9 + 2 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6141329263) and next prime (6141329297).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 459979 + ... + 473141.

Almost surely, 2^6141329280 is an apocalyptic number.

6141329280 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 6141329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11007012780).

6141329280 is an abundant number, since it is smaller than the sum of its proper divisors (15872696280).

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

6141329280 is an equidigital number, since it uses as much as digits as its factorization.

6141329280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13200 (or 13173 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 6141329280 is about 78366.6337161422. The cubic root of 6141329280 is about 1831.2773667046.

The spelling of 6141329280 in words is "six billion, one hundred forty-one million, three hundred twenty-nine thousand, two hundred eighty".