26970216768 has 336 divisors, whose sum is σ = 86272542720. Its totient is φ = 7987123200.

The previous prime is 26970216731. The next prime is 26970216773. The reversal of 26970216768 is 86761207962.

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, 75125773 + ... + 75126131.

It is an arithmetic number, because the mean of its divisors is an integer number (256763520).

Almost surely, 2^26970216768 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 26970216768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43136271360).

26970216768 is an abundant number, since it is smaller than the sum of its proper divisors (59302325952).

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

26970216768 is a wasteful number, since it uses less digits than its factorization.

26970216768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 26970216768 in words is "twenty-six billion, nine hundred seventy million, two hundred sixteen thousand, seven hundred sixty-eight".