27379474560 has 192 divisors, whose sum is σ = 95414319000. Its totient is φ = 7234043904.

The previous prime is 27379474547. The next prime is 27379474609. The reversal of 27379474560 is 6547497372.

27379474560 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 9 + 4 + 74 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17889597504 + 9489877056 = 133752^2 + 97416^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 27379474497 and 27379474506.

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, 606036 + ... + 649644.

Almost surely, 2^27379474560 is an apocalyptic number.

27379474560 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 27379474560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47707159500).

27379474560 is an abundant number, since it is smaller than the sum of its proper divisors (68034844440).

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

27379474560 is a wasteful number, since it uses less digits than its factorization.

27379474560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43743 (or 43728 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 27379474560 in words is "twenty-seven billion, three hundred seventy-nine million, four hundred seventy-four thousand, five hundred sixty".