32640023350900 has 144 divisors (see below), whose sum is σ = 81200790316800. Its totient is φ = 11155836303360.

The previous prime is 32640023350853. The next prime is 32640023350927. The reversal of 32640023350900 is 905332004623.

It is a happy number.

It is a super-2 number, since 2×32640023350900² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32640023350900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781270812 + ... + 781312588.

It is an arithmetic number, because the mean of its divisors is an integer number (563894377200).

Almost surely, 2^{32640023350900} 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 32640023350900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40600395158400).

32640023350900 is an abundant number, since it is smaller than the sum of its proper divisors (48560766965900).

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

32640023350900 is a wasteful number, since it uses less digits than its factorization.

32640023350900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45266 (or 45259 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 32640023350900 in words is "thirty-two trillion, six hundred forty billion, twenty-three million, three hundred fifty thousand, nine hundred".