27479642976 has 144 divisors (see below), whose sum is σ = 80762572800. Its totient is φ = 8853799680.

The previous prime is 27479642969. The next prime is 27479643029. The reversal of 27479642976 is 67924697472.

27479642976 is a `hidden beast` number, since 2 + 74 + 79 + 6 + 429 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×27479642976² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11453425 + ... + 11455823.

It is an arithmetic number, because the mean of its divisors is an integer number (560851200).

Almost surely, 2^27479642976 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 27479642976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40381286400).

27479642976 is an abundant number, since it is smaller than the sum of its proper divisors (53282929824).

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

27479642976 is a wasteful number, since it uses less digits than its factorization.

27479642976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3718 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 27479642976 in words is "twenty-seven billion, four hundred seventy-nine million, six hundred forty-two thousand, nine hundred seventy-six".