26604374400 has 768 divisors, whose sum is σ = 105180768000. Its totient is φ = 6542622720.

The previous prime is 26604374399. The next prime is 26604374411. The reversal of 26604374400 is 447340662.

26604374400 is a `hidden beast` number, since 2 + 6 + 604 + 3 + 7 + 4 + 40 + 0 = 666.

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

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, 86659047 + ... + 86659353.

It is an arithmetic number, because the mean of its divisors is an integer number (136954125).

Almost surely, 2^26604374400 is an apocalyptic number.

26604374400 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 26604374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52590384000).

26604374400 is an abundant number, since it is smaller than the sum of its proper divisors (78576393600).

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

26604374400 is a wasteful number, since it uses less digits than its factorization.

26604374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 26604374400 in words is "twenty-six billion, six hundred four million, three hundred seventy-four thousand, four hundred".