32468796000000 has 1008 divisors, whose sum is σ = 126343132787200. Its totient is φ = 8202124800000.

The previous prime is 32468795999971. The next prime is 32468796000071. The reversal of 32468796000000 is 69786423.

32468796000000 is a `hidden beast` number, since 32 + 4 + 6 + 8 + 7 + 9 + 600 + 0 + 0 + 0 + 0 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 32468796000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2051992089 + ... + 2052007911.

Almost surely, 2^{32468796000000} is an apocalyptic number.

32468796000000 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 32468796000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63171566393600).

32468796000000 is an abundant number, since it is smaller than the sum of its proper divisors (93874336787200).

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

32468796000000 is an frugal number, since it uses more digits than its factorization.

32468796000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15897 (or 15852 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 32468796000000 in words is "thirty-two trillion, four hundred sixty-eight billion, seven hundred ninety-six million", and thus it is an aban number.