9800412679680 has 320 divisors, whose sum is σ = 35962913226240. Its totient is φ = 2230309453824.

The previous prime is 9800412679643. The next prime is 9800412679703. The reversal of 9800412679680 is 869762140089.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 11913007 + ... + 12709073.

It is an arithmetic number, because the mean of its divisors is an integer number (112384103832).

Almost surely, 2^{9800412679680} 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 9800412679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17981456613120).

9800412679680 is an abundant number, since it is smaller than the sum of its proper divisors (26162500546560).

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

9800412679680 is a wasteful number, since it uses less digits than its factorization.

9800412679680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796329 (or 796313 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 60.

The spelling of 9800412679680 in words is "nine trillion, eight hundred billion, four hundred twelve million, six hundred seventy-nine thousand, six hundred eighty".