6138439632 has 240 divisors, whose sum is σ = 19328137920. Its totient is φ = 1864152576.

The previous prime is 6138439627. The next prime is 6138439667. The reversal of 6138439632 is 2369348316.

6138439632 is a `hidden beast` number, since 6 + 1 + 3 + 8 + 4 + 3 + 9 + 632 = 666.

It is a super-2 number, since 2×6138439632² = 75360882231416590848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6059158 + ... + 6060170.

It is an arithmetic number, because the mean of its divisors is an integer number (80533908).

Almost surely, 2^6138439632 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 6138439632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9664068960).

6138439632 is an abundant number, since it is smaller than the sum of its proper divisors (13189698288).

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

6138439632 is a wasteful number, since it uses less digits than its factorization.

6138439632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1114 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 6138439632 is about 78348.1948228547. The cubic root of 6138439632 is about 1830.9901011457.

The spelling of 6138439632 in words is "six billion, one hundred thirty-eight million, four hundred thirty-nine thousand, six hundred thirty-two".