26827328640 has 128 divisors (see below), whose sum is σ = 97728174720. Its totient is φ = 6131957760.

The previous prime is 26827328599. The next prime is 26827328657. The reversal of 26827328640 is 4682372862.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×26827328640³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 26827328640.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 984601 + ... + 1011480.

It is an arithmetic number, because the mean of its divisors is an integer number (763501365).

Almost surely, 2^26827328640 is an apocalyptic number.

26827328640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26827328640 is an abundant number, since it is smaller than the sum of its proper divisors (70900846080).

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

26827328640 is a wasteful number, since it uses less digits than its factorization.

26827328640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996110 (or 1996098 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 26827328640 in words is "twenty-six billion, eight hundred twenty-seven million, three hundred twenty-eight thousand, six hundred forty".