98640668736 has 504 divisors, whose sum is σ = 313986123360. Its totient is φ = 29518110720.

The previous prime is 98640668699. The next prime is 98640668741. The reversal of 98640668736 is 63786604689.

It is a super-3 number, since 3×98640668736³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 872926216 + ... + 872926328.

It is an arithmetic number, because the mean of its divisors is an integer number (622988340).

Almost surely, 2^98640668736 is an apocalyptic number.

98640668736 is a gapful number since it is divisible by the number (96) 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 98640668736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156993061680).

98640668736 is an abundant number, since it is smaller than the sum of its proper divisors (215345454624).

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

98640668736 is a wasteful number, since it uses less digits than its factorization.

98640668736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

It can be divided in two parts, 98640 and 668736, that added together give a square (767376 = 876²).

The spelling of 98640668736 in words is "ninety-eight billion, six hundred forty million, six hundred sixty-eight thousand, seven hundred thirty-six".