27339734240 has 192 divisors, whose sum is σ = 81120009600. Its totient is φ = 8652349440.

The previous prime is 27339734221. The next prime is 27339734249. The reversal of 27339734240 is 4243793372.

It is a super-2 number, since 2×27339734240² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27339734191 and 27339734200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27339734249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 694280 + ... + 732600.

It is an arithmetic number, because the mean of its divisors is an integer number (422500050).

Almost surely, 2^27339734240 is an apocalyptic number.

27339734240 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 27339734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40560004800).

27339734240 is an abundant number, since it is smaller than the sum of its proper divisors (53780275360).

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

27339734240 is a wasteful number, since it uses less digits than its factorization.

27339734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38370 (or 38348 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 44.

The spelling of 27339734240 in words is "twenty-seven billion, three hundred thirty-nine million, seven hundred thirty-four thousand, two hundred forty".