26749898784 has 288 divisors, whose sum is σ = 90975830400. Its totient is φ = 7573450752.

The previous prime is 26749898761. The next prime is 26749898789. The reversal of 26749898784 is 48789894762.

26749898784 is a `hidden beast` number, since 2 + 67 + 498 + 9 + 8 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 not an unprimeable number, because it can be changed into a prime (26749898789) 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 47 ways as a sum of consecutive naturals, for example, 6148642 + ... + 6152990.

It is an arithmetic number, because the mean of its divisors is an integer number (315888300).

Almost surely, 2^26749898784 is an apocalyptic number.

26749898784 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 26749898784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45487915200).

26749898784 is an abundant number, since it is smaller than the sum of its proper divisors (64225931616).

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

26749898784 is a wasteful number, since it uses less digits than its factorization.

26749898784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4494 (or 4474 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 26749898784 in words is "twenty-six billion, seven hundred forty-nine million, eight hundred ninety-eight thousand, seven hundred eighty-four".