5759766480 has 80 divisors (see below), whose sum is σ = 19228769280. Its totient is φ = 1417787904.

The previous prime is 5759766443. The next prime is 5759766487. The reversal of 5759766480 is 846679575.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5759766480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5759766487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 919920 + ... + 926159.

It is an arithmetic number, because the mean of its divisors is an integer number (240359616).

Almost surely, 2^5759766480 is an apocalyptic number.

It is an amenable number.

5759766480 is an abundant number, since it is smaller than the sum of its proper divisors (13469002800).

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

5759766480 is a wasteful number, since it uses less digits than its factorization.

5759766480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846108 (or 1846102 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The square root of 5759766480 is about 75893.1253803663. The cubic root of 5759766480 is about 1792.5376738132.

The spelling of 5759766480 in words is "five billion, seven hundred fifty-nine million, seven hundred sixty-six thousand, four hundred eighty".