27861469776 has 240 divisors, whose sum is σ = 93906578880. Its totient is φ = 7885382400.

The previous prime is 27861469747. The next prime is 27861469799. The reversal of 27861469776 is 67796416872.

27861469776 is a `hidden beast` number, since 2 + 7 + 8 + 614 + 6 + 9 + 7 + 7 + 6 = 666.

It is a super-2 number, since 2×27861469776² (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 a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2258826 + ... + 2271126.

It is an arithmetic number, because the mean of its divisors is an integer number (391277412).

Almost surely, 2^27861469776 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 27861469776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46953289440).

27861469776 is an abundant number, since it is smaller than the sum of its proper divisors (66045109104).

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

27861469776 is a wasteful number, since it uses less digits than its factorization.

27861469776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12439 (or 12420 counting only the distinct ones).

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

The spelling of 27861469776 in words is "twenty-seven billion, eight hundred sixty-one million, four hundred sixty-nine thousand, seven hundred seventy-six".