5678834626560 has 832 divisors, whose sum is σ = 20030355800064. Its totient is φ = 1367447961600.

The previous prime is 5678834626541. The next prime is 5678834626561. The reversal of 5678834626560 is 656264388765.

It is a junction number, because it is equal to n+sod(n) for n = 5678834626491 and 5678834626500.

It is not an unprimeable number, because it can be changed into a prime (5678834626561) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4112117070 + ... + 4112118450.

Almost surely, 2^{5678834626560} 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 5678834626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10015177900032).

5678834626560 is an abundant number, since it is smaller than the sum of its proper divisors (14351521173504).

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

5678834626560 is a wasteful number, since it uses less digits than its factorization.

5678834626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 66.

The spelling of 5678834626560 in words is "five trillion, six hundred seventy-eight billion, eight hundred thirty-four million, six hundred twenty-six thousand, five hundred sixty".