26676180360 has 224 divisors, whose sum is σ = 95286297240. Its totient is φ = 6695073792.

The previous prime is 26676180301. The next prime is 26676180371. The reversal of 26676180360 is 6308167662.

26676180360 is a `hidden beast` number, since 26 + 6 + 7 + 618 + 0 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24574324644 + 2101855716 = 156762^2 + 45846^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 468814 + ... + 522626.

Almost surely, 2^26676180360 is an apocalyptic number.

26676180360 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 26676180360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47643148620).

26676180360 is an abundant number, since it is smaller than the sum of its proper divisors (68610116880).

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

26676180360 is a wasteful number, since it uses less digits than its factorization.

26676180360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53859 (or 53840 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 26676180360 in words is "twenty-six billion, six hundred seventy-six million, one hundred eighty thousand, three hundred sixty".