26846428320 has 192 divisors, whose sum is σ = 95365952640. Its totient is φ = 7052120064.

The previous prime is 26846428307. The next prime is 26846428337. The reversal of 26846428320 is 2382464862.

26846428320 is a `hidden beast` number, since 268 + 4 + 64 + 2 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 243064 + ... + 335816.

It is an arithmetic number, because the mean of its divisors is an integer number (496697670).

Almost surely, 2^26846428320 is an apocalyptic number.

26846428320 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 26846428320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47682976320).

26846428320 is an abundant number, since it is smaller than the sum of its proper divisors (68519524320).

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

26846428320 is a wasteful number, since it uses less digits than its factorization.

26846428320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92844 (or 92830 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

It can be divided in two parts, 2684642 and 8320, that added together give a palindrome (2692962).

The spelling of 26846428320 in words is "twenty-six billion, eight hundred forty-six million, four hundred twenty-eight thousand, three hundred twenty".