6138823320 has 192 divisors, whose sum is σ = 23011560000. Its totient is φ = 1390224384.

The previous prime is 6138823289. The next prime is 6138823337. The reversal of 6138823320 is 233288316.

6138823320 is a `hidden beast` number, since 613 + 8 + 8 + 2 + 3 + 32 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 263506 + ... + 285854.

It is an arithmetic number, because the mean of its divisors is an integer number (119851875).

Almost surely, 2^6138823320 is an apocalyptic number.

6138823320 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 6138823320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11505780000).

6138823320 is an abundant number, since it is smaller than the sum of its proper divisors (16872736680).

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

6138823320 is a wasteful number, since it uses less digits than its factorization.

6138823320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22482 (or 22475 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6138823320 is about 78350.6433923806. The cubic root of 6138823320 is about 1831.0282495100.

The spelling of 6138823320 in words is "six billion, one hundred thirty-eight million, eight hundred twenty-three thousand, three hundred twenty".