27679989662640 has 1920 divisors, whose sum is σ = 117633630965760. Its totient is φ = 5914147405824.

The previous prime is 27679989662627. The next prime is 27679989662749. The reversal of 27679989662640 is 4626698997672.

27679989662640 is a `hidden beast` number, since 276 + 7 + 9 + 9 + 89 + 6 + 6 + 264 + 0 = 666.

It is a super-2 number, since 2×27679989662640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 27679989662640.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 42782054797 + ... + 42782055443.

It is an arithmetic number, because the mean of its divisors is an integer number (61267516128).

Almost surely, 2^{27679989662640} is an apocalyptic number.

27679989662640 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 27679989662640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58816815482880).

27679989662640 is an abundant number, since it is smaller than the sum of its proper divisors (89953641303120).

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

27679989662640 is a wasteful number, since it uses less digits than its factorization.

27679989662640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 5925685248, while the sum is 81.

The spelling of 27679989662640 in words is "twenty-seven trillion, six hundred seventy-nine billion, nine hundred eighty-nine million, six hundred sixty-two thousand, six hundred forty".