5671766016 has 192 divisors, whose sum is σ = 19202601600. Its totient is φ = 1620393984.

The previous prime is 5671765997. The next prime is 5671766033. The reversal of 5671766016 is 6106671765.

5671766016 is a `hidden beast` number, since 567 + 1 + 76 + 6 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379746 + ... + 394398.

It is an arithmetic number, because the mean of its divisors is an integer number (100013550).

Almost surely, 2^5671766016 is an apocalyptic number.

5671766016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5671766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9601300800).

5671766016 is an abundant number, since it is smaller than the sum of its proper divisors (13530835584).

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

5671766016 is a wasteful number, since it uses less digits than its factorization.

5671766016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14691 (or 14665 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5671766016 is about 75311.1281020275. The cubic root of 5671766016 is about 1783.3616999671.

The spelling of 5671766016 in words is "five billion, six hundred seventy-one million, seven hundred sixty-six thousand, sixteen".