26879672448 has 384 divisors, whose sum is σ = 84342935040. Its totient is φ = 8510054400.

The previous prime is 26879672441. The next prime is 26879672461. The reversal of 26879672448 is 84427697862.

26879672448 is a `hidden beast` number, since 2 + 68 + 79 + 67 + 2 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (26879672441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58817436 + ... + 58817892.

It is an arithmetic number, because the mean of its divisors is an integer number (219643060).

Almost surely, 2^26879672448 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 26879672448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42171467520).

26879672448 is an abundant number, since it is smaller than the sum of its proper divisors (57463262592).

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

26879672448 is an equidigital number, since it uses as much as digits as its factorization.

26879672448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 554 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 63.

The spelling of 26879672448 in words is "twenty-six billion, eight hundred seventy-nine million, six hundred seventy-two thousand, four hundred forty-eight".