27868629720 has 128 divisors (see below), whose sum is σ = 88707363840. Its totient is φ = 6979983360.

The previous prime is 27868629713. The next prime is 27868629739. The reversal of 27868629720 is 2792686872.

It is a happy number.

It is a Cunningham number, because it is equal to 166939²-1.

It is a super-3 number, since 3×27868629720³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 987729 + ... + 1015551.

It is an arithmetic number, because the mean of its divisors is an integer number (693026280).

Almost surely, 2^27868629720 is an apocalyptic number.

27868629720 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 27868629720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44353681920).

27868629720 is an abundant number, since it is smaller than the sum of its proper divisors (60838734120).

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

27868629720 is a wasteful number, since it uses less digits than its factorization.

27868629720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28345 (or 28341 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 27868629720 in words is "twenty-seven billion, eight hundred sixty-eight million, six hundred twenty-nine thousand, seven hundred twenty".