6418010016 has 72 divisors (see below), whose sum is σ = 19910427264. Its totient is φ = 1944850560.

The previous prime is 6418010009. The next prime is 6418010023. The reversal of 6418010016 is 6100108146.

6418010016 is a `hidden beast` number, since 641 + 8 + 0 + 1 + 0 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (6418010009) and next prime (6418010023).

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1009776 + ... + 1016111.

It is an arithmetic number, because the mean of its divisors is an integer number (276533712).

Almost surely, 2^6418010016 is an apocalyptic number.

6418010016 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6418010016 is an abundant number, since it is smaller than the sum of its proper divisors (13492417248).

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

6418010016 is a wasteful number, since it uses less digits than its factorization.

6418010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025914 (or 2025903 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6418010016 is about 80112.4835216085. The cubic root of 6418010016 is about 1858.3754667267.

The spelling of 6418010016 in words is "six billion, four hundred eighteen million, ten thousand, sixteen".