26432967974680 has 192 divisors, whose sum is σ = 64409510949120. Its totient is φ = 9744052412160.

The previous prime is 26432967974641. The next prime is 26432967974701. The reversal of 26432967974680 is 8647976923462.

It is a super-2 number, since 2×26432967974680² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200629387 + ... + 200761093.

It is an arithmetic number, because the mean of its divisors is an integer number (335466202860).

Almost surely, 2^{26432967974680} is an apocalyptic number.

26432967974680 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 26432967974680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32204755474560).

26432967974680 is an abundant number, since it is smaller than the sum of its proper divisors (37976542974440).

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

26432967974680 is a wasteful number, since it uses less digits than its factorization.

26432967974680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132030 (or 131995 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 73.

The spelling of 26432967974680 in words is "twenty-six trillion, four hundred thirty-two billion, nine hundred sixty-seven million, nine hundred seventy-four thousand, six hundred eighty".