4802680829952 has 576 divisors, whose sum is σ = 15221753820000. Its totient is φ = 1495869161472.

The previous prime is 4802680829951. The next prime is 4802680830121. The reversal of 4802680829952 is 2599280862084.

4802680829952 is a `hidden beast` number, since 4 + 80 + 268 + 0 + 8 + 299 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 4802680829952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4802680829951) 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 47 ways as a sum of consecutive naturals, for example, 2381100048 + ... + 2381102064.

Almost surely, 2^{4802680829952} 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 4802680829952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7610876910000).

4802680829952 is an abundant number, since it is smaller than the sum of its proper divisors (10419072990048).

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

4802680829952 is a wasteful number, since it uses less digits than its factorization.

4802680829952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 4802680829952 in words is "four trillion, eight hundred two billion, six hundred eighty million, eight hundred twenty-nine thousand, nine hundred fifty-two".