26672032576 has 112 divisors (see below), whose sum is σ = 61467707392. Its totient is φ = 11247206400.

The previous prime is 26672032567. The next prime is 26672032577. The reversal of 26672032576 is 67523027662.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×26672032576² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26672032577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7863841 + ... + 7867231.

It is an arithmetic number, because the mean of its divisors is an integer number (548818816).

Almost surely, 2^26672032576 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 26672032576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30733853696).

26672032576 is an abundant number, since it is smaller than the sum of its proper divisors (34795674816).

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

26672032576 is a wasteful number, since it uses less digits than its factorization.

26672032576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3678 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 26672032576 in words is "twenty-six billion, six hundred seventy-two million, thirty-two thousand, five hundred seventy-six".