6416006814 has 64 divisors (see below), whose sum is σ = 17003105280. Its totient is φ = 1753440480.

The previous prime is 6416006783. The next prime is 6416006827. The reversal of 6416006814 is 4186006146.

6416006814 is a `hidden beast` number, since 6 + 41 + 600 + 6 + 8 + 1 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360297 + ... + 377684.

It is an arithmetic number, because the mean of its divisors is an integer number (265673520).

Almost surely, 2^6416006814 is an apocalyptic number.

6416006814 is an abundant number, since it is smaller than the sum of its proper divisors (10587098466).

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

6416006814 is a wasteful number, since it uses less digits than its factorization.

6416006814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738022 (or 738016 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6416006814 is about 80099.9801123571. The cubic root of 6416006814 is about 1858.1820999966.

The spelling of 6416006814 in words is "six billion, four hundred sixteen million, six thousand, eight hundred fourteen".