5667630080 has 528 divisors, whose sum is σ = 17641864800. Its totient is φ = 1734082560.

The previous prime is 5667630079. The next prime is 5667630091. The reversal of 5667630080 is 800367665.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138234860 + ... + 138234900.

Almost surely, 2^5667630080 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 5667630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8820932400).

5667630080 is an abundant number, since it is smaller than the sum of its proper divisors (11974234720).

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

5667630080 is a wasteful number, since it uses less digits than its factorization.

5667630080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 5667630080 is about 75283.6640978639. The cubic root of 5667630080 is about 1782.9281099455.

The spelling of 5667630080 in words is "five billion, six hundred sixty-seven million, six hundred thirty thousand, eighty".