6138929472 has 224 divisors, whose sum is σ = 17915412480. Its totient is φ = 1843845120.

The previous prime is 6138929441. The next prime is 6138929479. The reversal of 6138929472 is 2749298316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6138929479) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32140897 + ... + 32141087.

It is an arithmetic number, because the mean of its divisors is an integer number (79979520).

Almost surely, 2^6138929472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6138929472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8957706240).

6138929472 is an abundant number, since it is smaller than the sum of its proper divisors (11776483008).

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

6138929472 is a wasteful number, since it uses less digits than its factorization.

6138929472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 451 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 6138929472 is about 78351.3208057146. The cubic root of 6138929472 is about 1831.0388034430.

The spelling of 6138929472 in words is "six billion, one hundred thirty-eight million, nine hundred twenty-nine thousand, four hundred seventy-two".