32413500000 has 840 divisors, whose sum is σ = 137859954120. Its totient is φ = 7408800000.

The previous prime is 32413499957. The next prime is 32413500019. The reversal of 32413500000 is 531423.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 4630499997 + ... + 4630500003.

It is an arithmetic number, because the mean of its divisors is an integer number (164118993).

Almost surely, 2^32413500000 is an apocalyptic number.

32413500000 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 32413500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68929977060).

32413500000 is an abundant number, since it is smaller than the sum of its proper divisors (105446454120).

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

32413500000 is an frugal number, since it uses more digits than its factorization.

32413500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The spelling of 32413500000 in words is "thirty-two billion, four hundred thirteen million, five hundred thousand".