32793600000000 has 1224 divisors, whose sum is σ = 126974966238784. Its totient is φ = 7372800000000.

The previous prime is 32793599999893. The next prime is 32793600000041. The reversal of 32793600000000 is 639723.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537599999970 + ... + 537600000030.

Almost surely, 2^{32793600000000} is an apocalyptic number.

32793600000000 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 32793600000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63487483119392).

32793600000000 is an abundant number, since it is smaller than the sum of its proper divisors (94181366238784).

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

32793600000000 is an frugal number, since it uses more digits than its factorization.

32793600000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

Adding to 32793600000000 its reverse (639723), we get a palindrome (32793600639723).

The spelling of 32793600000000 in words is "thirty-two trillion, seven hundred ninety-three billion, six hundred million", and thus it is an aban number.