26729769680640 has 432 divisors, whose sum is σ = 99801017604288. Its totient is φ = 6566107152384.

The previous prime is 26729769680597. The next prime is 26729769680671. The reversal of 26729769680640 is 4608696792762.

It is a super-2 number, since 2×26729769680640² (a number of 28 digits) contains 22 as substring.

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

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, 72749872 + ... + 73116368.

It is an arithmetic number, because the mean of its divisors is an integer number (231020874084).

Almost surely, 2^{26729769680640} is an apocalyptic number.

26729769680640 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 26729769680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49900508802144).

26729769680640 is an abundant number, since it is smaller than the sum of its proper divisors (73071247923648).

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

26729769680640 is a wasteful number, since it uses less digits than its factorization.

26729769680640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367024 (or 367007 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 26729769680640 in words is "twenty-six trillion, seven hundred twenty-nine billion, seven hundred sixty-nine million, six hundred eighty thousand, six hundred forty".