27424708992 has 384 divisors, whose sum is σ = 87070464000. Its totient is φ = 8247951360.

The previous prime is 27424708957. The next prime is 27424708999. The reversal of 27424708992 is 29980742472.

It is a happy number.

27424708992 is a `hidden beast` number, since 2 + 7 + 4 + 2 + 470 + 89 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×27424708992² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27424708999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120813583 + ... + 120813809.

It is an arithmetic number, because the mean of its divisors is an integer number (226746000).

Almost surely, 2^27424708992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27424708992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43535232000).

27424708992 is an abundant number, since it is smaller than the sum of its proper divisors (59645755008).

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

27424708992 is a wasteful number, since it uses less digits than its factorization.

27424708992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 27424708992 in words is "twenty-seven billion, four hundred twenty-four million, seven hundred eight thousand, nine hundred ninety-two".