26736568320 has 768 divisors, whose sum is σ = 108689817600. Its totient is φ = 5449973760.

The previous prime is 26736568319. The next prime is 26736568351. The reversal of 26736568320 is 2386563762.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26736568320.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210524097 + ... + 210524223.

It is an arithmetic number, because the mean of its divisors is an integer number (141523200).

Almost surely, 2^26736568320 is an apocalyptic number.

26736568320 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 26736568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54344908800).

26736568320 is an abundant number, since it is smaller than the sum of its proper divisors (81953249280).

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

26736568320 is a wasteful number, since it uses less digits than its factorization.

26736568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 26736568320 in words is "twenty-six billion, seven hundred thirty-six million, five hundred sixty-eight thousand, three hundred twenty".