32325920640 has 768 divisors, whose sum is σ = 127245081600. Its totient is φ = 7793418240.

The previous prime is 32325920639. The next prime is 32325920677. The reversal of 32325920640 is 4602952323.

It is a happy number.

32325920640 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 5 + 9 + 2 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 32325920595 and 32325920604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119283705 + ... + 119283975.

It is an arithmetic number, because the mean of its divisors is an integer number (165683700).

Almost surely, 2^32325920640 is an apocalyptic number.

32325920640 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 32325920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63622540800).

32325920640 is an abundant number, since it is smaller than the sum of its proper divisors (94919160960).

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

32325920640 is a wasteful number, since it uses less digits than its factorization.

32325920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 32325920640 in words is "thirty-two billion, three hundred twenty-five million, nine hundred twenty thousand, six hundred forty".