27393606240 has 1152 divisors, whose sum is σ = 120001222656. Its totient is φ = 5109350400.

The previous prime is 27393606173. The next prime is 27393606241. The reversal of 27393606240 is 4260639372.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27393606192 and 27393606201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27393606241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 375254844 + ... + 375254916.

It is an arithmetic number, because the mean of its divisors is an integer number (104167728).

Almost surely, 2^27393606240 is an apocalyptic number.

27393606240 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 27393606240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60000611328).

27393606240 is an abundant number, since it is smaller than the sum of its proper divisors (92607616416).

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

27393606240 is a wasteful number, since it uses less digits than its factorization.

27393606240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 27393606240 in words is "twenty-seven billion, three hundred ninety-three million, six hundred six thousand, two hundred forty".