6142643460 has 36 divisors (see below), whose sum is σ = 18632685708. Its totient is φ = 1638038208.

The previous prime is 6142643431. The next prime is 6142643461. The reversal of 6142643460 is 643462416.

6142643460 is a `hidden beast` number, since 6 + 1 + 4 + 2 + 643 + 4 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3045053124 + 3097590336 = 55182^2 + 55656^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (6142643461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17062719 + ... + 17063078.

It is an arithmetic number, because the mean of its divisors is an integer number (517574603).

Almost surely, 2^6142643460 is an apocalyptic number.

6142643460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6142643460 is an abundant number, since it is smaller than the sum of its proper divisors (12490042248).

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

6142643460 is a wasteful number, since it uses less digits than its factorization.

6142643460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34125812 (or 34125807 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 6142643460 is about 78375.0180861223. The cubic root of 6142643460 is about 1831.4079820994.

The spelling of 6142643460 in words is "six billion, one hundred forty-two million, six hundred forty-three thousand, four hundred sixty".