5066167680 has 640 divisors, whose sum is σ = 21611335680. Its totient is φ = 1105809408.

The previous prime is 5066167621. The next prime is 5066167693. The reversal of 5066167680 is 867616605.

5066167680 is a `hidden beast` number, since 506 + 6 + 1 + 67 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 8345937 + ... + 8346543.

It is an arithmetic number, because the mean of its divisors is an integer number (33767712).

Almost surely, 2^5066167680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5066167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805667840).

5066167680 is an abundant number, since it is smaller than the sum of its proper divisors (16545168000).

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

5066167680 is a wasteful number, since it uses less digits than its factorization.

5066167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5066167680 is about 71177.0165151645. The cubic root of 5066167680 is about 1717.4859250196.

It can be divided in two parts, 50661 and 67680, that added together give a triangular number (118341 = T₄₈₆).

The spelling of 5066167680 in words is "five billion, sixty-six million, one hundred sixty-seven thousand, six hundred eighty".