641959296 has 128 divisors (see below), whose sum is σ = 1869782400. Its totient is φ = 193536000.

The previous prime is 641959291. The next prime is 641959313. The reversal of 641959296 is 692959146.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×641959296² = 824223475441631232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641959291) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1600696 + ... + 1601096.

It is an arithmetic number, because the mean of its divisors is an integer number (14607675).

Almost surely, 2^641959296 is an apocalyptic number.

641959296 is a gapful number since it is divisible by the number (66) 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 641959296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934891200).

641959296 is an abundant number, since it is smaller than the sum of its proper divisors (1227823104).

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

641959296 is a wasteful number, since it uses less digits than its factorization.

641959296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 796 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 641959296 is about 25336.9156765381. The cubic root of 641959296 is about 862.6523916405.

The spelling of 641959296 in words is "six hundred forty-one million, nine hundred fifty-nine thousand, two hundred ninety-six".