26742803360 has 288 divisors, whose sum is σ = 82796297472. Its totient is φ = 7964835840.

The previous prime is 26742803303. The next prime is 26742803389. The reversal of 26742803360 is 6330824762.

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, 3213605 + ... + 3221915.

It is an arithmetic number, because the mean of its divisors is an integer number (287487144).

Almost surely, 2^26742803360 is an apocalyptic number.

26742803360 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 26742803360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41398148736).

26742803360 is an abundant number, since it is smaller than the sum of its proper divisors (56053494112).

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

26742803360 is a wasteful number, since it uses less digits than its factorization.

26742803360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8376 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The spelling of 26742803360 in words is "twenty-six billion, seven hundred forty-two million, eight hundred three thousand, three hundred sixty".