6142006368 has 36 divisors (see below), whose sum is σ = 17466331428. Its totient is φ = 2047335360.

The previous prime is 6142006363. The next prime is 6142006399. The reversal of 6142006368 is 8636002416.

6142006368 is a `hidden beast` number, since 6 + 14 + 2 + 0 + 0 + 636 + 8 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (6142006361) 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, 10662918 + ... + 10663493.

It is an arithmetic number, because the mean of its divisors is an integer number (485175873).

Almost surely, 2^6142006368 is an apocalyptic number.

It is an amenable number.

6142006368 is an abundant number, since it is smaller than the sum of its proper divisors (11324325060).

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

6142006368 is a wasteful number, since it uses less digits than its factorization.

6142006368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21326427 (or 21326416 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6142006368 is about 78370.9535988940. The cubic root of 6142006368 is about 1831.3446643155.

The spelling of 6142006368 in words is "six billion, one hundred forty-two million, six thousand, three hundred sixty-eight".