32984552504064 has 432 divisors, whose sum is σ = 103917411053568. Its totient is φ = 9258988806144.

The previous prime is 32984552504053. The next prime is 32984552504081. The reversal of 32984552504064 is 46040525548923.

32984552504064 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 32984552503995 and 32984552504013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965657674 + ... + 965691830.

It is an arithmetic number, because the mean of its divisors is an integer number (240549562624).

Almost surely, 2^{32984552504064} 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 32984552504064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51958705526784).

32984552504064 is an abundant number, since it is smaller than the sum of its proper divisors (70932858549504).

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

32984552504064 is a wasteful number, since it uses less digits than its factorization.

32984552504064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34640 (or 34619 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 57.

The spelling of 32984552504064 in words is "thirty-two trillion, nine hundred eighty-four billion, five hundred fifty-two million, five hundred four thousand, sixty-four".