6142081600 has 42 divisors (see below), whose sum is σ = 15113363474. Its totient is φ = 2456832000.

The previous prime is 6142081597. The next prime is 6142081609. The reversal of 6142081600 is 61802416.

It can be written as a sum of positive squares in 3 ways, for example, as 1686252096 + 4455829504 = 41064^2 + 66752^2 .

It is not an unprimeable number, because it can be changed into a prime (6142081609) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1917801 + ... + 1921000.

Almost surely, 2^6142081600 is an apocalyptic number.

It is an amenable number.

6142081600 is an abundant number, since it is smaller than the sum of its proper divisors (8971281874).

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

6142081600 is a wasteful number, since it uses less digits than its factorization.

6142081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838823 (or 3838808 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 6142081600 is about 78371.4335711680. The cubic root of 6142081600 is about 1831.3521415225.

The spelling of 6142081600 in words is "six billion, one hundred forty-two million, eighty-one thousand, six hundred".