26744065920 has 1024 divisors, whose sum is σ = 113508864000. Its totient is φ = 5865799680.

The previous prime is 26744065897. The next prime is 26744065939. The reversal of 26744065920 is 2956044762.

26744065920 is a `hidden beast` number, since 2 + 67 + 440 + 65 + 92 + 0 = 666.

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

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 195212092 + ... + 195212228.

It is an arithmetic number, because the mean of its divisors is an integer number (110848500).

Almost surely, 2^26744065920 is an apocalyptic number.

26744065920 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 26744065920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56754432000).

26744065920 is an abundant number, since it is smaller than the sum of its proper divisors (86764798080).

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

26744065920 is a wasteful number, since it uses less digits than its factorization.

26744065920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26744065920 in words is "twenty-six billion, seven hundred forty-four million, sixty-five thousand, nine hundred twenty".