26132730624 has 720 divisors, whose sum is σ = 104707088640. Its totient is φ = 6260613120.

The previous prime is 26132730623. The next prime is 26132730649. The reversal of 26132730624 is 42603723162.

26132730624 is a `hidden beast` number, since 2 + 6 + 1 + 3 + 27 + 3 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26132730623) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 20756107 + ... + 20757365.

It is an arithmetic number, because the mean of its divisors is an integer number (145426512).

Almost surely, 2^26132730624 is an apocalyptic number.

26132730624 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 26132730624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52353544320).

26132730624 is an abundant number, since it is smaller than the sum of its proper divisors (78574358016).

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

26132730624 is a wasteful number, since it uses less digits than its factorization.

26132730624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 26132730624 in words is "twenty-six billion, one hundred thirty-two million, seven hundred thirty thousand, six hundred twenty-four".