26667325440 has 576 divisors, whose sum is σ = 109611290880. Its totient is φ = 6091407360.

The previous prime is 26667325429. The next prime is 26667325471. The reversal of 26667325440 is 4452376662.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×26667325440² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17417475 + ... + 17419005.

It is an arithmetic number, because the mean of its divisors is an integer number (190297380).

Almost surely, 2^26667325440 is an apocalyptic number.

26667325440 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 26667325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54805645440).

26667325440 is an abundant number, since it is smaller than the sum of its proper divisors (82943965440).

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

26667325440 is an equidigital number, since it uses as much as digits as its factorization.

26667325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1580 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 26667325440 in words is "twenty-six billion, six hundred sixty-seven million, three hundred twenty-five thousand, four hundred forty".