6135782832 has 160 divisors (see below), whose sum is σ = 18160623360. Its totient is φ = 1982292480.

The previous prime is 6135782831. The next prime is 6135782833. The reversal of 6135782832 is 2382875316.

6135782832 is a `hidden beast` number, since 613 + 5 + 7 + 8 + 28 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6135782831) and next prime (6135782833).

It is a super-2 number, since 2×6135782832² = 75295661922931880448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6135782831) 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, 2543707 + ... + 2546117.

It is an arithmetic number, because the mean of its divisors is an integer number (113503896).

Almost surely, 2^6135782832 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 6135782832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9080311680).

6135782832 is an abundant number, since it is smaller than the sum of its proper divisors (12024840528).

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

6135782832 is a wasteful number, since it uses less digits than its factorization.

6135782832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2596 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 6135782832 is about 78331.2379067253. The cubic root of 6135782832 is about 1830.7259039024.

The spelling of 6135782832 in words is "six billion, one hundred thirty-five million, seven hundred eighty-two thousand, eight hundred thirty-two".