5649766080 has 448 divisors, whose sum is σ = 21647139840. Its totient is φ = 1221083136.

The previous prime is 5649766079. The next prime is 5649766103. The reversal of 5649766080 is 806679465.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 10328367 + ... + 10328913.

Almost surely, 2^5649766080 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 5649766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10823569920).

5649766080 is an abundant number, since it is smaller than the sum of its proper divisors (15997373760).

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

5649766080 is a wasteful number, since it uses less digits than its factorization.

5649766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 5649766080 is about 75164.9258630646. The cubic root of 5649766080 is about 1781.0529140638.

The spelling of 5649766080 in words is "five billion, six hundred forty-nine million, seven hundred sixty-six thousand, eighty".