27479299006944 has 576 divisors, whose sum is σ = 84914121277440. Its totient is φ = 8731164648960.

The previous prime is 27479299006937. The next prime is 27479299006949. The reversal of 27479299006944 is 44960099297472.

27479299006944 is a `hidden beast` number, since 2 + 7 + 479 + 2 + 9 + 90 + 0 + 69 + 4 + 4 = 666.

It is a super-2 number, since 2×27479299006944² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27479299006949) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9274146007 + ... + 9274148969.

It is an arithmetic number, because the mean of its divisors is an integer number (147420349440).

Almost surely, 2^{27479299006944} is an apocalyptic number.

27479299006944 is a gapful number since it is divisible by the number (24) 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 27479299006944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42457060638720).

27479299006944 is an abundant number, since it is smaller than the sum of its proper divisors (57434822270496).

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

27479299006944 is a wasteful number, since it uses less digits than its factorization.

27479299006944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3565 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 27479299006944 in words is "twenty-seven trillion, four hundred seventy-nine billion, two hundred ninety-nine million, six thousand, nine hundred forty-four".