32450755680 has 576 divisors, whose sum is σ = 133785146880. Its totient is φ = 7323982848.

The previous prime is 32450755663. The next prime is 32450755693. The reversal of 32450755680 is 8655705423.

32450755680 is a `hidden beast` number, since 3 + 2 + 450 + 75 + 56 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 17568517 + ... + 17570363.

It is an arithmetic number, because the mean of its divisors is an integer number (232265880).

Almost surely, 2^32450755680 is an apocalyptic number.

32450755680 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 32450755680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66892573440).

32450755680 is an abundant number, since it is smaller than the sum of its proper divisors (101334391200).

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

32450755680 is a wasteful number, since it uses less digits than its factorization.

32450755680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1968 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 32450755680 in words is "thirty-two billion, four hundred fifty million, seven hundred fifty-five thousand, six hundred eighty".