26314663680 has 216 divisors, whose sum is σ = 91392799680. Its totient is φ = 6990520320.

The previous prime is 26314663673. The next prime is 26314663729. The reversal of 26314663680 is 8636641362.

26314663680 is a `hidden beast` number, since 2 + 6 + 3 + 1 + 4 + 6 + 636 + 8 + 0 = 666.

It is a super-2 number, since 2×26314663680² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3117706 + ... + 3126134.

Almost surely, 2^26314663680 is an apocalyptic number.

26314663680 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 26314663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45696399840).

26314663680 is an abundant number, since it is smaller than the sum of its proper divisors (65078136000).

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

26314663680 is a wasteful number, since it uses less digits than its factorization.

26314663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8727 (or 8710 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26314663680 in words is "twenty-six billion, three hundred fourteen million, six hundred sixty-three thousand, six hundred eighty".