27314869680 has 1440 divisors, whose sum is σ = 124984857600. Its totient is φ = 5448425472.

The previous prime is 27314869679. The next prime is 27314869739. The reversal of 27314869680 is 8696841372.

27314869680 is a `hidden beast` number, since 2 + 73 + 1 + 486 + 96 + 8 + 0 = 666.

It is a super-2 number, since 2×27314869680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 581167417 + ... + 581167463.

It is an arithmetic number, because the mean of its divisors is an integer number (86795040).

Almost surely, 2^27314869680 is an apocalyptic number.

27314869680 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 27314869680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62492428800).

27314869680 is an abundant number, since it is smaller than the sum of its proper divisors (97669987920).

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

27314869680 is a wasteful number, since it uses less digits than its factorization.

27314869680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27314869680 in words is "twenty-seven billion, three hundred fourteen million, eight hundred sixty-nine thousand, six hundred eighty".