641066624 has 64 divisors (see below), whose sum is σ = 1417024800. Its totient is φ = 286417920.

The previous prime is 641066623. The next prime is 641066627. The reversal of 641066624 is 426660146.

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

It is not an unprimeable number, because it can be changed into a prime (641066623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79214 + ... + 86930.

Almost surely, 2^641066624 is an apocalyptic number.

641066624 is a gapful number since it is divisible by the number (64) 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 641066624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708512400).

641066624 is an abundant number, since it is smaller than the sum of its proper divisors (775958176).

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

641066624 is a wasteful number, since it uses less digits than its factorization.

641066624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 641066624 is about 25319.2935130505. The cubic root of 641066624 is about 862.2523544143.

The spelling of 641066624 in words is "six hundred forty-one million, sixty-six thousand, six hundred twenty-four".