26674012800 has 288 divisors, whose sum is σ = 98707015680. Its totient is φ = 7112862720.

The previous prime is 26674012793. The next prime is 26674012817. The reversal of 26674012800 is 821047662.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 760449 + ... + 794751.

Almost surely, 2^26674012800 is an apocalyptic number.

26674012800 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 26674012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49353507840).

26674012800 is an abundant number, since it is smaller than the sum of its proper divisors (72033002880).

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

26674012800 is an equidigital number, since it uses as much as digits as its factorization.

26674012800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34342 (or 34313 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 26674012800 in words is "twenty-six billion, six hundred seventy-four million, twelve thousand, eight hundred".