32004483900480 has 2688 divisors, whose sum is σ = 143557511086080. Its totient is φ = 6363649474560.

The previous prime is 32004483900461. The next prime is 32004483900497. The reversal of 32004483900480 is 8400938440023.

32004483900480 is a `hidden beast` number, since 3 + 2 + 0 + 0 + 4 + 4 + 83 + 90 + 0 + 480 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 68532085207 + ... + 68532085673.

It is an arithmetic number, because the mean of its divisors is an integer number (53406812160).

Almost surely, 2^{32004483900480} is an apocalyptic number.

32004483900480 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 32004483900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71778755543040).

32004483900480 is an abundant number, since it is smaller than the sum of its proper divisors (111553027185600).

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

32004483900480 is a wasteful number, since it uses less digits than its factorization.

32004483900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 32004483900480 in words is "thirty-two trillion, four billion, four hundred eighty-three million, nine hundred thousand, four hundred eighty".