27790235648 has 192 divisors, whose sum is σ = 67966516800. Its totient is φ = 11088691200.

The previous prime is 27790235633. The next prime is 27790235651. The reversal of 27790235648 is 84653209772.

It is a self number, because there is not a number n which added to its sum of digits gives 27790235648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24614348 + ... + 24615476.

It is an arithmetic number, because the mean of its divisors is an integer number (353992275).

Almost surely, 2^27790235648 is an apocalyptic number.

27790235648 is a gapful number since it is divisible by the number (28) 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 27790235648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33983258400).

27790235648 is an abundant number, since it is smaller than the sum of its proper divisors (40176281152).

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

27790235648 is a wasteful number, since it uses less digits than its factorization.

27790235648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 53.

The spelling of 27790235648 in words is "twenty-seven billion, seven hundred ninety million, two hundred thirty-five thousand, six hundred forty-eight".