26634074000 has 80 divisors (see below), whose sum is σ = 64683531120. Its totient is φ = 10606924800.

The previous prime is 26634073981. The next prime is 26634074009. The reversal of 26634074000 is 47043662.

It can be written as a sum of positive squares in 8 ways, for example, as 11670913024 + 14963160976 = 108032^2 + 122324^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (26634074009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428924 + ... + 487076.

It is an arithmetic number, because the mean of its divisors is an integer number (808544139).

Almost surely, 2^26634074000 is an apocalyptic number.

26634074000 is a gapful number since it is divisible by the number (20) 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 26634074000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32341765560).

26634074000 is an abundant number, since it is smaller than the sum of its proper divisors (38049457120).

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

26634074000 is a wasteful number, since it uses less digits than its factorization.

26634074000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58405 (or 58389 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 32.

The spelling of 26634074000 in words is "twenty-six billion, six hundred thirty-four million, seventy-four thousand".