32164045704 has 280 divisors, whose sum is σ = 105529663710. Its totient is φ = 9185726592.

The previous prime is 32164045699. The next prime is 32164045723. The reversal of 32164045704 is 40754046123.

32164045704 is a `hidden beast` number, since 3 + 2 + 1 + 640 + 4 + 5 + 7 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27788223204 + 4375822500 = 166698^2 + 66150^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 14001484 + ... + 14003780.

Almost surely, 2^32164045704 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 32164045704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52764831855).

32164045704 is an abundant number, since it is smaller than the sum of its proper divisors (73365618006).

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

32164045704 is an frugal number, since it uses more digits than its factorization.

32164045704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 32164045704 in words is "thirty-two billion, one hundred sixty-four million, forty-five thousand, seven hundred four".