26768124432 has 200 divisors, whose sum is σ = 89995912512. Its totient is φ = 7522502400.

The previous prime is 26768124421. The next prime is 26768124437. The reversal of 26768124432 is 23442186762.

It is a happy number.

26768124432 is a `hidden beast` number, since 26 + 76 + 8 + 124 + 432 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (26768124437) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 529207 + ... + 577577.

Almost surely, 2^26768124432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26768124432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997956256).

26768124432 is an abundant number, since it is smaller than the sum of its proper divisors (63227788080).

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

26768124432 is a wasteful number, since it uses less digits than its factorization.

26768124432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48459 (or 48444 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 26768124432 in words is "twenty-six billion, seven hundred sixty-eight million, one hundred twenty-four thousand, four hundred thirty-two".