27684998880 has 768 divisors, whose sum is σ = 114115018752. Its totient is φ = 5474304000.

The previous prime is 27684998827. The next prime is 27684998903. The reversal of 27684998880 is 8889948672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83640315 + ... + 83640645.

It is an arithmetic number, because the mean of its divisors is an integer number (148587264).

Almost surely, 2^27684998880 is an apocalyptic number.

27684998880 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 27684998880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57057509376).

27684998880 is an abundant number, since it is smaller than the sum of its proper divisors (86430019872).

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

27684998880 is a wasteful number, since it uses less digits than its factorization.

27684998880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 69.

The spelling of 27684998880 in words is "twenty-seven billion, six hundred eighty-four million, nine hundred ninety-eight thousand, eight hundred eighty".