26672725759680 has 2688 divisors, whose sum is σ = 127916618618880. Its totient is φ = 5091102720000.

The previous prime is 26672725759651. The next prime is 26672725759703. The reversal of 26672725759680 is 8695752727662.

26672725759680 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 2 + 7 + 25 + 7 + 596 + 8 + 0 = 666.

It is a super-2 number, since 2×26672725759680² (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 26672725759599 and 26672725759608.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23878894482 + ... + 23878895598.

It is an arithmetic number, because the mean of its divisors is an integer number (47588027760).

Almost surely, 2^{26672725759680} is an apocalyptic number.

26672725759680 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 26672725759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63958309309440).

26672725759680 is an abundant number, since it is smaller than the sum of its proper divisors (101243892859200).

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

26672725759680 is a wasteful number, since it uses less digits than its factorization.

26672725759680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 26672725759680 in words is "twenty-six trillion, six hundred seventy-two billion, seven hundred twenty-five million, seven hundred fifty-nine thousand, six hundred eighty".