6414271872 has 64 divisors (see below), whose sum is σ = 17243271360. Its totient is φ = 2112320000.

The previous prime is 6414271861. The next prime is 6414271931. The reversal of 6414271872 is 2781724146.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6414271872² = 82285767295860768768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 68754 + ... + 132497.

It is an arithmetic number, because the mean of its divisors is an integer number (269426115).

Almost surely, 2^6414271872 is an apocalyptic number.

It is an amenable number.

6414271872 is an abundant number, since it is smaller than the sum of its proper divisors (10828999488).

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

6414271872 is a wasteful number, since it uses less digits than its factorization.

6414271872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201351 (or 201339 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 6414271872 is about 80089.1495272612. The cubic root of 6414271872 is about 1858.0145955612.

The spelling of 6414271872 in words is "six billion, four hundred fourteen million, two hundred seventy-one thousand, eight hundred seventy-two".