6014832768 has 256 divisors, whose sum is σ = 20483232000. Its totient is φ = 1702010880.

The previous prime is 6014832763. The next prime is 6014832779. The reversal of 6014832768 is 8672384106.

6014832768 is a `hidden beast` number, since 601 + 4 + 8 + 32 + 7 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (6014832763) 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, 2635788 + ... + 2638068.

It is an arithmetic number, because the mean of its divisors is an integer number (80012625).

Almost surely, 2^6014832768 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 6014832768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241616000).

6014832768 is an abundant number, since it is smaller than the sum of its proper divisors (14468399232).

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

6014832768 is a wasteful number, since it uses less digits than its factorization.

6014832768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 6014832768 is about 77555.3529293755. The cubic root of 6014832768 is about 1818.6167455139.

The spelling of 6014832768 in words is "six billion, fourteen million, eight hundred thirty-two thousand, seven hundred sixty-eight".