32740983410304 has 512 divisors, whose sum is σ = 96273678090240. Its totient is φ = 9796508467200.

The previous prime is 32740983410273. The next prime is 32740983410321. The reversal of 32740983410304 is 40301438904723.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29683574617 + ... + 29683575719.

It is an arithmetic number, because the mean of its divisors is an integer number (188034527520).

Almost surely, 2^{32740983410304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32740983410304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48136839045120).

32740983410304 is an abundant number, since it is smaller than the sum of its proper divisors (63532694679936).

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

32740983410304 is a wasteful number, since it uses less digits than its factorization.

32740983410304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 32740983410304 in words is "thirty-two trillion, seven hundred forty billion, nine hundred eighty-three million, four hundred ten thousand, three hundred four".