26664422400 has 1320 divisors, whose sum is σ = 123835574016. Its totient is φ = 5507481600.

The previous prime is 26664422371. The next prime is 26664422413. The reversal of 26664422400 is 422446662.

It is a tau number, because it is divible by the number of its divisors (1320).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 159667117 + ... + 159667283.

Almost surely, 2^26664422400 is an apocalyptic number.

26664422400 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 26664422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61917787008).

26664422400 is an abundant number, since it is smaller than the sum of its proper divisors (97171151616).

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

26664422400 is a wasteful number, since it uses less digits than its factorization.

26664422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 26664422400 in words is "twenty-six billion, six hundred sixty-four million, four hundred twenty-two thousand, four hundred".