26746428744 has 768 divisors, whose sum is σ = 96613171200. Its totient is φ = 6760454400.

The previous prime is 26746428701. The next prime is 26746428781. The reversal of 26746428744 is 44782464762.

26746428744 is a `hidden beast` number, since 2 + 67 + 464 + 2 + 87 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (14450688) is a multiple of the sum of its prime factors (196).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 376710229 + ... + 376710299.

It is an arithmetic number, because the mean of its divisors is an integer number (125798400).

Almost surely, 2^26746428744 is an apocalyptic number.

26746428744 is a gapful number since it is divisible by the number (24) 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 26746428744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48306585600).

26746428744 is an abundant number, since it is smaller than the sum of its proper divisors (69866742456).

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

26746428744 is a wasteful number, since it uses less digits than its factorization.

26746428744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

The spelling of 26746428744 in words is "twenty-six billion, seven hundred forty-six million, four hundred twenty-eight thousand, seven hundred forty-four".