26746536960 has 1320 divisors, whose sum is σ = 116220684888. Its totient is φ = 5839257600.

The previous prime is 26746536913. The next prime is 26746536967. The reversal of 26746536960 is 6963564762.

26746536960 is a `hidden beast` number, since 2 + 6 + 7 + 46 + 536 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 642318336 + 26104218624 = 25344^2 + 161568^2 .

It is a tau number, because it is divible by the number of its divisors (1320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 26746536897 and 26746536906.

It is not an unprimeable number, because it can be changed into a prime (26746536967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 652354540 + ... + 652354580.

Almost surely, 2^26746536960 is an apocalyptic number.

26746536960 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 26746536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58110342444).

26746536960 is an abundant number, since it is smaller than the sum of its proper divisors (89474147928).

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

26746536960 is a wasteful number, since it uses less digits than its factorization.

26746536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 26746536960 in words is "twenty-six billion, seven hundred forty-six million, five hundred thirty-six thousand, nine hundred sixty".