27232002040320 has 7680 divisors, whose sum is σ = 143161808486400. Its totient is φ = 4815794995200.

The previous prime is 27232002040279. The next prime is 27232002040367. The reversal of 27232002040320 is 2304020023272.

It is a happy number.

27232002040320 is a `hidden beast` number, since 2 + 7 + 232 + 0 + 0 + 2 + 0 + 403 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 373041123804 + ... + 373041123876.

It is an arithmetic number, because the mean of its divisors is an integer number (18640860480).

Almost surely, 2^{27232002040320} is an apocalyptic number.

27232002040320 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 27232002040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71580904243200).

27232002040320 is an abundant number, since it is smaller than the sum of its proper divisors (115929806446080).

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

27232002040320 is a wasteful number, since it uses less digits than its factorization.

27232002040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 27232002040320 its reverse (2304020023272), we get a palindrome (29536022063592).

The spelling of 27232002040320 in words is "twenty-seven trillion, two hundred thirty-two billion, two million, forty thousand, three hundred twenty".