6414905760 has 48 divisors (see below), whose sum is σ = 20206954656. Its totient is φ = 1710641408.

The previous prime is 6414905741. The next prime is 6414905771. The reversal of 6414905760 is 675094146.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6681714 + ... + 6682673.

It is an arithmetic number, because the mean of its divisors is an integer number (420978222).

Almost surely, 2^6414905760 is an apocalyptic number.

6414905760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6414905760 is an abundant number, since it is smaller than the sum of its proper divisors (13792048896).

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

6414905760 is a wasteful number, since it uses less digits than its factorization.

6414905760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13364405 (or 13364397 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6414905760 is about 80093.1068195010. The cubic root of 6414905760 is about 1858.0757994091.

The spelling of 6414905760 in words is "six billion, four hundred fourteen million, nine hundred five thousand, seven hundred sixty".