32450706000 has 360 divisors, whose sum is σ = 117740322024. Its totient is φ = 8650022400.

The previous prime is 32450705999. The next prime is 32450706031. The reversal of 32450706000 is 60705423.

It is a happy number.

32450706000 is a `hidden beast` number, since 3 + 2 + 4 + 50 + 7 + 0 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231891984 + 32218814016 = 15228^2 + 179496^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13120764 + ... + 13123236.

Almost surely, 2^32450706000 is an apocalyptic number.

32450706000 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 32450706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58870161012).

32450706000 is an abundant number, since it is smaller than the sum of its proper divisors (85289616024).

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

32450706000 is an frugal number, since it uses more digits than its factorization.

32450706000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2483 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 32450706000 in words is "thirty-two billion, four hundred fifty million, seven hundred six thousand".