26681979744 has 384 divisors, whose sum is σ = 93354024960. Its totient is φ = 7253452800.

The previous prime is 26681979721. The next prime is 26681979767. The reversal of 26681979744 is 44797918662.

It is an interprime number because it is at equal distance from previous prime (26681979721) and next prime (26681979767).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11435602 + ... + 11437934.

It is an arithmetic number, because the mean of its divisors is an integer number (243109440).

Almost surely, 2^26681979744 is an apocalyptic number.

26681979744 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 26681979744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46677012480).

26681979744 is an abundant number, since it is smaller than the sum of its proper divisors (66672045216).

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

26681979744 is a wasteful number, since it uses less digits than its factorization.

26681979744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2451 (or 2437 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The spelling of 26681979744 in words is "twenty-six billion, six hundred eighty-one million, nine hundred seventy-nine thousand, seven hundred forty-four".