27834744640 has 224 divisors, whose sum is σ = 74303412480. Its totient is φ = 9869819904.

The previous prime is 27834744593. The next prime is 27834744661. The reversal of 27834744640 is 4644743872.

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, 20361237 + ... + 20362603.

Almost surely, 2^27834744640 is an apocalyptic number.

27834744640 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 27834744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37151706240).

27834744640 is an abundant number, since it is smaller than the sum of its proper divisors (46468667840).

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

27834744640 is a wasteful number, since it uses less digits than its factorization.

27834744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 49.

The spelling of 27834744640 in words is "twenty-seven billion, eight hundred thirty-four million, seven hundred forty-four thousand, six hundred forty".