6142016592 has 80 divisors (see below), whose sum is σ = 17681100480. Its totient is φ = 2041388928.

The previous prime is 6142016591. The next prime is 6142016599. The reversal of 6142016592 is 2956102416.

6142016592 is a `hidden beast` number, since 61 + 4 + 2 + 0 + 1 + 6 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6142016591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129418 + ... + 170390.

It is an arithmetic number, because the mean of its divisors is an integer number (221013756).

Almost surely, 2^6142016592 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 6142016592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840550240).

6142016592 is an abundant number, since it is smaller than the sum of its proper divisors (11539083888).

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

6142016592 is a wasteful number, since it uses less digits than its factorization.

6142016592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41337 (or 41325 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6142016592 is about 78371.0188271149. The cubic root of 6142016592 is about 1831.3456804686.

The spelling of 6142016592 in words is "six billion, one hundred forty-two million, sixteen thousand, five hundred ninety-two".