32442070752 has 864 divisors, whose sum is σ = 125254950912. Its totient is φ = 8042001408.

The previous prime is 32442070711. The next prime is 32442070769. The reversal of 32442070752 is 25707024423.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 255449313 + ... + 255449439.

It is an arithmetic number, because the mean of its divisors is an integer number (144971008).

Almost surely, 2^32442070752 is an apocalyptic number.

32442070752 is a gapful number since it is divisible by the number (32) 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 32442070752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62627475456).

32442070752 is an abundant number, since it is smaller than the sum of its proper divisors (92812880160).

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

32442070752 is a wasteful number, since it uses less digits than its factorization.

32442070752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The spelling of 32442070752 in words is "thirty-two billion, four hundred forty-two million, seventy thousand, seven hundred fifty-two".