27406164240 has 320 divisors, whose sum is σ = 116184230400. Its totient is φ = 5782358016.

The previous prime is 27406164199. The next prime is 27406164293. The reversal of 27406164240 is 4246160472.

27406164240 is a `hidden beast` number, since 2 + 7 + 4 + 0 + 6 + 1 + 642 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27406164195 and 27406164204.

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, 126846 + ... + 266274.

It is an arithmetic number, because the mean of its divisors is an integer number (363075720).

Almost surely, 2^27406164240 is an apocalyptic number.

27406164240 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 27406164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58092115200).

27406164240 is an abundant number, since it is smaller than the sum of its proper divisors (88778066160).

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

27406164240 is a wasteful number, since it uses less digits than its factorization.

27406164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139471 (or 139459 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 27406164240 in words is "twenty-seven billion, four hundred six million, one hundred sixty-four thousand, two hundred forty".