27332072618040 has 192 divisors, whose sum is σ = 89969583600000. Its totient is φ = 7195018401792.

The previous prime is 27332072618021. The next prime is 27332072618047. The reversal of 27332072618040 is 4081627023372.

27332072618040 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 20 + 7 + 2 + 618 + 0 + 4 + 0 = 666.

It is a super-3 number, since 3×27332072618040³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27332072618047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 166263406 + ... + 166427714.

It is an arithmetic number, because the mean of its divisors is an integer number (468591581250).

Almost surely, 2^{27332072618040} is an apocalyptic number.

27332072618040 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 27332072618040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44984791800000).

27332072618040 is an abundant number, since it is smaller than the sum of its proper divisors (62637510981960).

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

27332072618040 is a wasteful number, since it uses less digits than its factorization.

27332072618040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170254 (or 170247 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 27332072618040 in words is "twenty-seven trillion, three hundred thirty-two billion, seventy-two million, six hundred eighteen thousand, forty".