7889820681600 has 2880 divisors, whose sum is σ = 35463517116720. Its totient is φ = 1714552012800.

The previous prime is 7889820681599. The next prime is 7889820681629. The reversal of 7889820681600 is 61860289887.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 15085698939 + ... + 15085699461.

Almost surely, 2^{7889820681600} 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 7889820681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17731758558360).

7889820681600 is an abundant number, since it is smaller than the sum of its proper divisors (27573696435120).

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

7889820681600 is a wasteful number, since it uses less digits than its factorization.

7889820681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 7889820681600 in words is "seven trillion, eight hundred eighty-nine billion, eight hundred twenty million, six hundred eighty-one thousand, six hundred".