26742866828832 has 768 divisors, whose sum is σ = 101900884377600. Its totient is φ = 6616300078080.

The previous prime is 26742866828771. The next prime is 26742866828863. The reversal of 26742866828832 is 23882866824762.

26742866828832 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 286 + 68 + 288 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 365667853 + ... + 365740979.

It is an arithmetic number, because the mean of its divisors is an integer number (132683443200).

Almost surely, 2^{26742866828832} is an apocalyptic number.

26742866828832 is a gapful number since it is divisible by the number (22) 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 26742866828832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50950442188800).

26742866828832 is an abundant number, since it is smaller than the sum of its proper divisors (75158017548768).

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

26742866828832 is a wasteful number, since it uses less digits than its factorization.

26742866828832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73426 (or 73412 counting only the distinct ones).

The product of its digits is 1189085184, while the sum is 72.

The spelling of 26742866828832 in words is "twenty-six trillion, seven hundred forty-two billion, eight hundred sixty-six million, eight hundred twenty-eight thousand, eight hundred thirty-two".