6142186920 has 128 divisors (see below), whose sum is σ = 18590860800. Its totient is φ = 1623392256.

The previous prime is 6142186903. The next prime is 6142186927. The reversal of 6142186920 is 296812416.

It is not an unprimeable number, because it can be changed into a prime (6142186927) 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, 8542321 + ... + 8543039.

It is an arithmetic number, because the mean of its divisors is an integer number (145241100).

Almost surely, 2^6142186920 is an apocalyptic number.

6142186920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142186920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9295430400).

6142186920 is an abundant number, since it is smaller than the sum of its proper divisors (12448673880).

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

6142186920 is a wasteful number, since it uses less digits than its factorization.

6142186920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6142186920 is about 78372.1054967901. The cubic root of 6142186920 is about 1831.3626090327.

The spelling of 6142186920 in words is "six billion, one hundred forty-two million, one hundred eighty-six thousand, nine hundred twenty".