32025763924960 has 192 divisors, whose sum is σ = 83146716644544. Its totient is φ = 11584696320000.

The previous prime is 32025763924949. The next prime is 32025763924963. The reversal of 32025763924960 is 6942936752023.

32025763924960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32025763924960² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32025763924895 and 32025763924904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32025763924963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31344072 + ... + 32349688.

It is an arithmetic number, because the mean of its divisors is an integer number (433055815857).

Almost surely, 2^{32025763924960} 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 32025763924960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41573358322272).

32025763924960 is an abundant number, since it is smaller than the sum of its proper divisors (51120952719584).

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

32025763924960 is a wasteful number, since it uses less digits than its factorization.

32025763924960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005957 (or 1005949 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 58.

The spelling of 32025763924960 in words is "thirty-two trillion, twenty-five billion, seven hundred sixty-three million, nine hundred twenty-four thousand, nine hundred sixty".