2327198791680 has 2304 divisors, whose sum is σ = 10309757552640. Its totient is φ = 491899060224.

The previous prime is 2327198791679. The next prime is 2327198791691. The reversal of 2327198791680 is 861978917232.

2327198791680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14822922162 + ... + 14822922318.

It is an arithmetic number, because the mean of its divisors is an integer number (4474721160).

Almost surely, 2^{2327198791680} is an apocalyptic number.

2327198791680 is a gapful number since it is divisible by the number (20) 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 2327198791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5154878776320).

2327198791680 is an abundant number, since it is smaller than the sum of its proper divisors (7982558760960).

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

2327198791680 is a wasteful number, since it uses less digits than its factorization.

2327198791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 2327198791680 in words is "two trillion, three hundred twenty-seven billion, one hundred ninety-eight million, seven hundred ninety-one thousand, six hundred eighty".