2198380728768 has 672 divisors, whose sum is σ = 7166940793344. Its totient is φ = 591816056832.

The previous prime is 2198380728757. The next prime is 2198380728781. The reversal of 2198380728768 is 8678270838912.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5537482746 + ... + 5537483142.

Almost surely, 2^{2198380728768} is an apocalyptic number.

2198380728768 is a gapful number since it is divisible by the number (28) 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 2198380728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583470396672).

2198380728768 is an abundant number, since it is smaller than the sum of its proper divisors (4968560064576).

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

2198380728768 is a wasteful number, since it uses less digits than its factorization.

2198380728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 69.

The spelling of 2198380728768 in words is "two trillion, one hundred ninety-eight billion, three hundred eighty million, seven hundred twenty-eight thousand, seven hundred sixty-eight".