6384142365840 has 120 divisors (see below), whose sum is σ = 21441230673408. Its totient is φ = 1702346446080.

The previous prime is 6384142365817. The next prime is 6384142365857. The reversal of 6384142365840 is 485632414836.

6384142365840 is a `hidden beast` number, since 6 + 3 + 84 + 1 + 423 + 65 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13732887 + ... + 14190153.

Almost surely, 2^{6384142365840} is an apocalyptic number.

6384142365840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6384142365840 is an abundant number, since it is smaller than the sum of its proper divisors (15057088307568).

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

6384142365840 is a wasteful number, since it uses less digits than its factorization.

6384142365840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476677 (or 476668 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 6384142365840 in words is "six trillion, three hundred eighty-four billion, one hundred forty-two million, three hundred sixty-five thousand, eight hundred forty".