26682399744 has 352 divisors, whose sum is σ = 95498543616. Its totient is φ = 6396641280.

The previous prime is 26682399739. The next prime is 26682399749. The reversal of 26682399744 is 44799328662.

It is an interprime number because it is at equal distance from previous prime (26682399739) and next prime (26682399749).

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×26682399744² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26682399749) 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 31 ways as a sum of consecutive naturals, for example, 3070734 + ... + 3079410.

Almost surely, 2^26682399744 is an apocalyptic number.

26682399744 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 26682399744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47749271808).

26682399744 is an abundant number, since it is smaller than the sum of its proper divisors (68816143872).

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

26682399744 is a wasteful number, since it uses less digits than its factorization.

26682399744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8731 (or 8713 counting only the distinct ones).

The product of its digits is 31352832, while the sum is 60.

It can be divided in two parts, 26682 and 399744, that added together give a triangular number (426426 = T₉₂₃).

The spelling of 26682399744 in words is "twenty-six billion, six hundred eighty-two million, three hundred ninety-nine thousand, seven hundred forty-four".