26977761648 has 120 divisors (see below), whose sum is σ = 80246391680. Its totient is φ = 8436493440.

The previous prime is 26977761631. The next prime is 26977761683. The reversal of 26977761648 is 84616777962.

26977761648 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 7 + 7 + 616 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233943 + ... + 329673.

Almost surely, 2^26977761648 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 26977761648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40123195840).

26977761648 is an abundant number, since it is smaller than the sum of its proper divisors (53268630032).

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

26977761648 is a wasteful number, since it uses less digits than its factorization.

26977761648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95867 (or 95858 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The spelling of 26977761648 in words is "twenty-six billion, nine hundred seventy-seven million, seven hundred sixty-one thousand, six hundred forty-eight".