6135839424 has 672 divisors, whose sum is σ = 22366955520. Its totient is φ = 1642291200.

The previous prime is 6135839417. The next prime is 6135839443. The reversal of 6135839424 is 4249385316.

6135839424 is a `hidden beast` number, since 61 + 3 + 583 + 9 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×6135839424² = 75297050874225303552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6135839424.

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, 68941972 + ... + 68942060.

It is an arithmetic number, because the mean of its divisors is an integer number (33284160).

Almost surely, 2^6135839424 is an apocalyptic number.

6135839424 is a gapful number since it is divisible by the number (64) 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 6135839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11183477760).

6135839424 is an abundant number, since it is smaller than the sum of its proper divisors (16231116096).

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

6135839424 is a wasteful number, since it uses less digits than its factorization.

6135839424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 6135839424 is about 78331.5991410874. The cubic root of 6135839424 is about 1830.7315323133.

The spelling of 6135839424 in words is "six billion, one hundred thirty-five million, eight hundred thirty-nine thousand, four hundred twenty-four".