641963952 has 120 divisors (see below), whose sum is σ = 2124164640. Its totient is φ = 177085440.

The previous prime is 641963947. The next prime is 641963953. The reversal of 641963952 is 259369146.

641963952 is a `hidden beast` number, since 6 + 4 + 1 + 9 + 639 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 641963898 and 641963907.

It is not an unprimeable number, because it can be changed into a prime (641963953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18252 + ... + 40212.

It is an arithmetic number, because the mean of its divisors is an integer number (17701372).

Almost surely, 2^641963952 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 641963952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062082320).

641963952 is an abundant number, since it is smaller than the sum of its proper divisors (1482200688).

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

641963952 is a wasteful number, since it uses less digits than its factorization.

641963952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22011 (or 22002 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 641963952 is about 25337.0075581155. The cubic root of 641963952 is about 862.6544771828.

The spelling of 641963952 in words is "six hundred forty-one million, nine hundred sixty-three thousand, nine hundred fifty-two".