27479948076 has 288 divisors, whose sum is σ = 83303700480. Its totient is φ = 7476019200.

The previous prime is 27479948057. The next prime is 27479948087. The reversal of 27479948076 is 67084997472.

27479948076 is a `hidden beast` number, since 2 + 7 + 479 + 94 + 8 + 0 + 76 = 666.

It is a super-2 number, since 2×27479948076² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 106925740 + ... + 106925996.

It is an arithmetic number, because the mean of its divisors is an integer number (289248960).

Almost surely, 2^27479948076 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 27479948076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41651850240).

27479948076 is an abundant number, since it is smaller than the sum of its proper divisors (55823752404).

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

27479948076 is a wasteful number, since it uses less digits than its factorization.

27479948076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 27479948076 in words is "twenty-seven billion, four hundred seventy-nine million, nine hundred forty-eight thousand, seventy-six".