26682493634496 has 672 divisors, whose sum is σ = 96117968718720. Its totient is φ = 6902703194112.

The previous prime is 26682493634449. The next prime is 26682493634501. The reversal of 26682493634496 is 69443639428662.

26682493634496 is a `hidden beast` number, since 2 + 6 + 6 + 8 + 2 + 493 + 6 + 3 + 44 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 95 ways as a sum of consecutive naturals, for example, 225656286 + ... + 225774498.

Almost surely, 2^{26682493634496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26682493634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48058984359360).

26682493634496 is an abundant number, since it is smaller than the sum of its proper divisors (69435475084224).

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

26682493634496 is a wasteful number, since it uses less digits than its factorization.

26682493634496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118381 (or 118368 counting only the distinct ones).

The product of its digits is 1934917632, while the sum is 72.

The spelling of 26682493634496 in words is "twenty-six trillion, six hundred eighty-two billion, four hundred ninety-three million, six hundred thirty-four thousand, four hundred ninety-six".