27998576640 has 672 divisors, whose sum is σ = 105194587680. Its totient is φ = 7134511104.

The previous prime is 27998576609. The next prime is 27998576657. The reversal of 27998576640 is 4667589972.

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, 288645072 + ... + 288645168.

It is an arithmetic number, because the mean of its divisors is an integer number (156539565).

Almost surely, 2^27998576640 is an apocalyptic number.

27998576640 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 27998576640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52597293840).

27998576640 is an abundant number, since it is smaller than the sum of its proper divisors (77196011040).

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

27998576640 is an frugal number, since it uses more digits than its factorization.

27998576640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 27998576640 in words is "twenty-seven billion, nine hundred ninety-eight million, five hundred seventy-six thousand, six hundred forty".