641729712 has 160 divisors (see below), whose sum is σ = 1899878400. Its totient is φ = 185020416.

The previous prime is 641729707. The next prime is 641729713. The reversal of 641729712 is 217927146.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (641729713) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1339489 + ... + 1339967.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2^641729712 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 641729712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949939200).

641729712 is an abundant number, since it is smaller than the sum of its proper divisors (1258148688).

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

641729712 is a wasteful number, since it uses less digits than its factorization.

641729712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 641729712 is about 25332.3846489035. The cubic root of 641729712 is about 862.5495425438.

The spelling of 641729712 in words is "six hundred forty-one million, seven hundred twenty-nine thousand, seven hundred twelve".