32326163735040 has 640 divisors, whose sum is σ = 131480776120320. Its totient is φ = 7374651899904.

The previous prime is 32326163735011. The next prime is 32326163735083. The reversal of 32326163735040 is 4053736162323.

32326163735040 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 6 + 1 + 637 + 3 + 5 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 252984447 + ... + 253112193.

It is an arithmetic number, because the mean of its divisors is an integer number (205438712688).

Almost surely, 2^{32326163735040} is an apocalyptic number.

32326163735040 is a gapful number since it is divisible by the number (30) 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 32326163735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65740388060160).

32326163735040 is an abundant number, since it is smaller than the sum of its proper divisors (99154612385280).

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

32326163735040 is a wasteful number, since it uses less digits than its factorization.

32326163735040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128309 (or 128287 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 45.

Adding to 32326163735040 its reverse (4053736162323), we get a palindrome (36379899897363).

The spelling of 32326163735040 in words is "thirty-two trillion, three hundred twenty-six billion, one hundred sixty-three million, seven hundred thirty-five thousand, forty".