98824680768 has 224 divisors, whose sum is σ = 294925455360. Its totient is φ = 28933632000.

The previous prime is 98824680749. The next prime is 98824680793. The reversal of 98824680768 is 86708642889.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 98824680699 and 98824680708.

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, 76667068 + ... + 76668356.

Almost surely, 2^98824680768 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 98824680768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147462727680).

98824680768 is an abundant number, since it is smaller than the sum of its proper divisors (196100774592).

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

98824680768 is a wasteful number, since it uses less digits than its factorization.

98824680768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 66.

The spelling of 98824680768 in words is "ninety-eight billion, eight hundred twenty-four million, six hundred eighty thousand, seven hundred sixty-eight".