32783984640 has 576 divisors, whose sum is σ = 125934419520. Its totient is φ = 7821066240.

The previous prime is 32783984579. The next prime is 32783984657. The reversal of 32783984640 is 4648938723.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74004259 + ... + 74004701.

It is an arithmetic number, because the mean of its divisors is an integer number (218636145).

Almost surely, 2^32783984640 is an apocalyptic number.

32783984640 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 32783984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62967209760).

32783984640 is an abundant number, since it is smaller than the sum of its proper divisors (93150434880).

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

32783984640 is a wasteful number, since it uses less digits than its factorization.

32783984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 32783984640 in words is "thirty-two billion, seven hundred eighty-three million, nine hundred eighty-four thousand, six hundred forty".