26864796672 has 264 divisors, whose sum is σ = 89668425600. Its totient is φ = 7587790848.

The previous prime is 26864796653. The next prime is 26864796691. The reversal of 26864796672 is 27669746862.

26864796672 is a `hidden beast` number, since 26 + 86 + 479 + 6 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (26864796653) and next prime (26864796691).

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

It is a nude number because it is divisible by every one of its digits.

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, 5739229 + ... + 5743907.

Almost surely, 2^26864796672 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 26864796672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44834212800).

26864796672 is an abundant number, since it is smaller than the sum of its proper divisors (62803628928).

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

26864796672 is a wasteful number, since it uses less digits than its factorization.

26864796672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4780 counting only the distinct ones).

The product of its digits is 73156608, while the sum is 63.

The spelling of 26864796672 in words is "twenty-six billion, eight hundred sixty-four million, seven hundred ninety-six thousand, six hundred seventy-two".