26727832040 has 192 divisors, whose sum is σ = 75625598160. Its totient is φ = 8426557440.

The previous prime is 26727832009. The next prime is 26727832051. The reversal of 26727832040 is 4023872762.

It can be written as a sum of positive squares in 8 ways, for example, as 9361336516 + 17366495524 = 96754^2 + 131782^2 .

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7158014 + ... + 7161746.

Almost surely, 2^26727832040 is an apocalyptic number.

26727832040 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 26727832040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37812799080).

26727832040 is an abundant number, since it is smaller than the sum of its proper divisors (48897766120).

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

26727832040 is a wasteful number, since it uses less digits than its factorization.

26727832040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4052 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The spelling of 26727832040 in words is "twenty-six billion, seven hundred twenty-seven million, eight hundred thirty-two thousand, forty".