5678377810560 has 3456 divisors, whose sum is σ = 26921316764160. Its totient is φ = 1132464291840.

The previous prime is 5678377810559. The next prime is 5678377810577. The reversal of 5678377810560 is 650187738765.

5678377810560 is a `hidden beast` number, since 5 + 67 + 8 + 3 + 7 + 7 + 8 + 1 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 431 ways as a sum of consecutive naturals, for example, 132055297899 + ... + 132055297941.

It is an arithmetic number, because the mean of its divisors is an integer number (7789732860).

Almost surely, 2^{5678377810560} 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 5678377810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13460658382080).

5678377810560 is an abundant number, since it is smaller than the sum of its proper divisors (21242938953600).

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

5678377810560 is a wasteful number, since it uses less digits than its factorization.

5678377810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 63.

The spelling of 5678377810560 in words is "five trillion, six hundred seventy-eight billion, three hundred seventy-seven million, eight hundred ten thousand, five hundred sixty".