641323872 has 192 divisors, whose sum is σ = 2250662400. Its totient is φ = 173560320.

The previous prime is 641323871. The next prime is 641323873. The reversal of 641323872 is 278323146.

It is a happy number.

641323872 is a `hidden beast` number, since 6 + 413 + 238 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (641323871) and next prime (641323873).

It is a super-2 number, since 2×641323872² = 822592617594144768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (641323871) 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, 112122 + ... + 117702.

It is an arithmetic number, because the mean of its divisors is an integer number (11722200).

Almost surely, 2^641323872 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 641323872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125331200).

641323872 is an abundant number, since it is smaller than the sum of its proper divisors (1609338528).

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

641323872 is a wasteful number, since it uses less digits than its factorization.

641323872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5626 (or 5612 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 641323872 is about 25324.3730820725. The cubic root of 641323872 is about 862.3676742174.

The spelling of 641323872 in words is "six hundred forty-one million, three hundred twenty-three thousand, eight hundred seventy-two".