641767040 has 64 divisors (see below), whose sum is σ = 1542240000. Its totient is φ = 255366144.

The previous prime is 641767037. The next prime is 641767057. The reversal of 641767040 is 40767146.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124841 + ... + 129879.

It is an arithmetic number, because the mean of its divisors is an integer number (24097500).

Almost surely, 2^641767040 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 641767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120000).

641767040 is an abundant number, since it is smaller than the sum of its proper divisors (900472960).

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

641767040 is a wasteful number, since it uses less digits than its factorization.

641767040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 641767040 is about 25333.1214026223. The cubic root of 641767040 is about 862.5662664202.

The spelling of 641767040 in words is "six hundred forty-one million, seven hundred sixty-seven thousand, forty".