6441064380 has 288 divisors, whose sum is σ = 21507192000. Its totient is φ = 1599934464.

The previous prime is 6441064373. The next prime is 6441064423. The reversal of 6441064380 is 834601446.

6441064380 is a `hidden beast` number, since 6 + 4 + 4 + 1 + 0 + 643 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23252802 + ... + 23253078.

It is an arithmetic number, because the mean of its divisors is an integer number (74677750).

Almost surely, 2^6441064380 is an apocalyptic number.

6441064380 is a gapful number since it is divisible by the number (60) 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 6441064380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10753596000).

6441064380 is an abundant number, since it is smaller than the sum of its proper divisors (15066127620).

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

6441064380 is a wasteful number, since it uses less digits than its factorization.

6441064380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6441064380 is about 80256.2420002332. The cubic root of 6441064380 is about 1860.5979867080.

It can be divided in two parts, 6441064 and 380, that added together give a square (6441444 = 2538²).

The spelling of 6441064380 in words is "six billion, four hundred forty-one million, sixty-four thousand, three hundred eighty".