27775541640 has 256 divisors, whose sum is σ = 105142302720. Its totient is φ = 5701847040.

The previous prime is 27775541627. The next prime is 27775541653. The reversal of 27775541640 is 4614557772.

It is an interprime number because it is at equal distance from previous prime (27775541627) and next prime (27775541653).

It is a self number, because there is not a number n which added to its sum of digits gives 27775541640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 748812 + ... + 785028.

It is an arithmetic number, because the mean of its divisors is an integer number (410712120).

Almost surely, 2^27775541640 is an apocalyptic number.

27775541640 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 27775541640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52571151360).

27775541640 is an abundant number, since it is smaller than the sum of its proper divisors (77366761080).

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

27775541640 is a wasteful number, since it uses less digits than its factorization.

27775541640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36332 (or 36328 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 27775541640 in words is "twenty-seven billion, seven hundred seventy-five million, five hundred forty-one thousand, six hundred forty".