4862981959680 has 416 divisors, whose sum is σ = 16771980718080. Its totient is φ = 1195938938880.

The previous prime is 4862981959679. The next prime is 4862981959711. The reversal of 4862981959680 is 869591892684.

It is a tau number, because it is divible by the number of its divisors (416).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174915051 + ... + 1174919189.

Almost surely, 2^{4862981959680} is an apocalyptic number.

4862981959680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4862981959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8385990359040).

4862981959680 is an abundant number, since it is smaller than the sum of its proper divisors (11908998758400).

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

4862981959680 is a wasteful number, since it uses less digits than its factorization.

4862981959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5655 (or 5633 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 75.

The spelling of 4862981959680 in words is "four trillion, eight hundred sixty-two billion, nine hundred eighty-one million, nine hundred fifty-nine thousand, six hundred eighty".