26673063814656 has 960 divisors, whose sum is σ = 92719841550336. Its totient is φ = 7221834547200.

The previous prime is 26673063814591. The next prime is 26673063814669. The reversal of 26673063814656 is 65641836037662.

26673063814656 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 30 + 63 + 81 + 465 + 6 = 666.

It is a super-2 number, since 2×26673063814656² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 26673063814593 and 26673063814602.

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, 11146285396 + ... + 11146287788.

Almost surely, 2^{26673063814656} 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 26673063814656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46359920775168).

26673063814656 is an abundant number, since it is smaller than the sum of its proper divisors (66046777735680).

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

26673063814656 is a wasteful number, since it uses less digits than its factorization.

26673063814656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2683 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 26673063814656 in words is "twenty-six trillion, six hundred seventy-three billion, sixty-three million, eight hundred fourteen thousand, six hundred fifty-six".