6083138880 has 560 divisors, whose sum is σ = 26642689920. Its totient is φ = 1282977792.

The previous prime is 6083138851. The next prime is 6083138939. The reversal of 6083138880 is 888313806.

6083138880 is a `hidden beast` number, since 608 + 3 + 1 + 38 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2357431 + ... + 2360009.

It is an arithmetic number, because the mean of its divisors is an integer number (47576232).

Almost surely, 2^6083138880 is an apocalyptic number.

6083138880 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 6083138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13321344960).

6083138880 is an abundant number, since it is smaller than the sum of its proper divisors (20559551040).

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

6083138880 is a wasteful number, since it uses less digits than its factorization.

6083138880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628 (or 2609 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 6083138880 is about 77994.4798046631. The cubic root of 6083138880 is about 1825.4750879228.

The spelling of 6083138880 in words is "six billion, eighty-three million, one hundred thirty-eight thousand, eight hundred eighty".