6238342656 has 960 divisors, whose sum is σ = 25023398400. Its totient is φ = 1504935936.

The previous prime is 6238342619. The next prime is 6238342681. The reversal of 6238342656 is 6562438326.

It is a happy number.

6238342656 is a `hidden beast` number, since 6 + 2 + 383 + 4 + 265 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215115250 + ... + 215115278.

It is an arithmetic number, because the mean of its divisors is an integer number (26066040).

Almost surely, 2^6238342656 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 6238342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12511699200).

6238342656 is an abundant number, since it is smaller than the sum of its proper divisors (18785055744).

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

6238342656 is a wasteful number, since it uses less digits than its factorization.

6238342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 73 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 6238342656 is about 78983.1795764136. The cubic root of 6238342656 is about 1840.8698092987.

The spelling of 6238342656 in words is "six billion, two hundred thirty-eight million, three hundred forty-two thousand, six hundred fifty-six".