26842946832 has 160 divisors (see below), whose sum is σ = 83113430400. Its totient is φ = 8245698048.

The previous prime is 26842946831. The next prime is 26842946839. The reversal of 26842946832 is 23864924862.

26842946832 is a `hidden beast` number, since 268 + 4 + 294 + 68 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (26842946831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3697318 + ... + 3704570.

It is an arithmetic number, because the mean of its divisors is an integer number (519458940).

Almost surely, 2^26842946832 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 26842946832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41556715200).

26842946832 is an abundant number, since it is smaller than the sum of its proper divisors (56270483568).

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

26842946832 is a wasteful number, since it uses less digits than its factorization.

26842946832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7942 (or 7930 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The spelling of 26842946832 in words is "twenty-six billion, eight hundred forty-two million, nine hundred forty-six thousand, eight hundred thirty-two".