27638948874240 has 960 divisors, whose sum is σ = 111800320632000. Its totient is φ = 6469242716160.

The previous prime is 27638948874157. The next prime is 27638948874247. The reversal of 27638948874240 is 4247884983672.

27638948874240 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 89 + 48 + 87 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×27638948874240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (27638948874247) 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 79 ways as a sum of consecutive naturals, for example, 264539131 + ... + 264643589.

It is an arithmetic number, because the mean of its divisors is an integer number (116458667325).

Almost surely, 2^{27638948874240} is an apocalyptic number.

27638948874240 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 27638948874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55900160316000).

27638948874240 is an abundant number, since it is smaller than the sum of its proper divisors (84161371757760).

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

27638948874240 is a wasteful number, since it uses less digits than its factorization.

27638948874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104538 (or 104509 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 72.

The spelling of 27638948874240 in words is "twenty-seven trillion, six hundred thirty-eight billion, nine hundred forty-eight million, eight hundred seventy-four thousand, two hundred forty".