26997876864 has 192 divisors, whose sum is σ = 90678032640. Its totient is φ = 7549452288.

The previous prime is 26997876833. The next prime is 26997876887. The reversal of 26997876864 is 46867879962.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 26997876792 and 26997876801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343392 + ... + 414624.

It is an arithmetic number, because the mean of its divisors is an integer number (472281420).

Almost surely, 2^26997876864 is an apocalyptic number.

26997876864 is a gapful number since it is divisible by the number (24) 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 26997876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45339016320).

26997876864 is an abundant number, since it is smaller than the sum of its proper divisors (63680155776).

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

26997876864 is a wasteful number, since it uses less digits than its factorization.

26997876864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71307 (or 71292 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 26997876864 in words is "twenty-six billion, nine hundred ninety-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".