27861341760 has 672 divisors, whose sum is σ = 114370713600. Its totient is φ = 6091407360.

The previous prime is 27861341759. The next prime is 27861341789. The reversal of 27861341760 is 6714316872.

27861341760 is a `hidden beast` number, since 27 + 8 + 613 + 4 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 68120436 + ... + 68120844.

Almost surely, 2^27861341760 is an apocalyptic number.

27861341760 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 27861341760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57185356800).

27861341760 is an abundant number, since it is smaller than the sum of its proper divisors (86509371840).

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

27861341760 is a wasteful number, since it uses less digits than its factorization.

27861341760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27861341760 in words is "twenty-seven billion, eight hundred sixty-one million, three hundred forty-one thousand, seven hundred sixty".