6138818280 has 320 divisors, whose sum is σ = 24030483840. Its totient is φ = 1376414208.

The previous prime is 6138818261. The next prime is 6138818299. The reversal of 6138818280 is 828188316.

6138818280 is a `hidden beast` number, since 613 + 8 + 8 + 1 + 8 + 28 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6138818261) and next prime (6138818299).

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 79 ways as a sum of consecutive naturals, for example, 1199487 + ... + 1204593.

It is an arithmetic number, because the mean of its divisors is an integer number (75095262).

Almost surely, 2^6138818280 is an apocalyptic number.

6138818280 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 6138818280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015241920).

6138818280 is an abundant number, since it is smaller than the sum of its proper divisors (17891665560).

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

6138818280 is a wasteful number, since it uses less digits than its factorization.

6138818280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5190 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 6138818280 is about 78350.6112292687. The cubic root of 6138818280 is about 1831.0277484159.

The spelling of 6138818280 in words is "six billion, one hundred thirty-eight million, eight hundred eighteen thousand, two hundred eighty".