26680793472 has 448 divisors, whose sum is σ = 85286790000. Its totient is φ = 8286105600.

The previous prime is 26680793471. The next prime is 26680793473. The reversal of 26680793472 is 27439708662.

26680793472 is a `hidden beast` number, since 2 + 6 + 6 + 80 + 7 + 93 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (26680793471) and next prime (26680793473).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26680793471) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 179065654 + ... + 179065802.

Almost surely, 2^26680793472 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 26680793472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42643395000).

26680793472 is an abundant number, since it is smaller than the sum of its proper divisors (58605996528).

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

26680793472 is a wasteful number, since it uses less digits than its factorization.

26680793472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 26680793472 in words is "twenty-six billion, six hundred eighty million, seven hundred ninety-three thousand, four hundred seventy-two".