6083682048 has 216 divisors, whose sum is σ = 19063815680. Its totient is φ = 1858775040.

The previous prime is 6083682047. The next prime is 6083682061. The reversal of 6083682048 is 8402863806.

It is a happy number.

6083682048 is a `hidden beast` number, since 608 + 36 + 8 + 2 + 0 + 4 + 8 = 666.

It is a super-2 number, since 2×6083682048² = 74022374522314948608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6083681994 and 6083682012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6083682041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354815 + ... + 1359297.

Almost surely, 2^6083682048 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 6083682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531907840).

6083682048 is an abundant number, since it is smaller than the sum of its proper divisors (12980133632).

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

6083682048 is a wasteful number, since it uses less digits than its factorization.

6083682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4538 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 6083682048 is about 77997.9618195245. The cubic root of 6083682048 is about 1825.5294189823.

It can be divided in two parts, 60836 and 82048, that added together give a square (142884 = 378²).

The spelling of 6083682048 in words is "six billion, eighty-three million, six hundred eighty-two thousand, forty-eight".