26341674400 has 144 divisors (see below), whose sum is σ = 66657843000. Its totient is φ = 10152898560.

The previous prime is 26341674391. The next prime is 26341674413. The reversal of 26341674400 is 447614362.

It can be written as a sum of positive squares in 12 ways, for example, as 6042263824 + 20299410576 = 77732^2 + 142476^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 26341674400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17004826 + ... + 17006374.

Almost surely, 2^26341674400 is an apocalyptic number.

26341674400 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 26341674400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33328921500).

26341674400 is an abundant number, since it is smaller than the sum of its proper divisors (40316168600).

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

26341674400 is a wasteful number, since it uses less digits than its factorization.

26341674400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2331 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 26341674400 in words is "twenty-six billion, three hundred forty-one million, six hundred seventy-four thousand, four hundred".