6944434560 has 384 divisors, whose sum is σ = 28425196800. Its totient is φ = 1587050496.

The previous prime is 6944434547. The next prime is 6944434571. The reversal of 6944434560 is 654344496.

6944434560 is a `hidden beast` number, since 6 + 9 + 44 + 43 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085451 + ... + 1091829.

It is an arithmetic number, because the mean of its divisors is an integer number (74023950).

Almost surely, 2^6944434560 is an apocalyptic number.

6944434560 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 6944434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14212598400).

6944434560 is an abundant number, since it is smaller than the sum of its proper divisors (21480762240).

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

6944434560 is an equidigital number, since it uses as much as digits as its factorization.

6944434560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6420 (or 6396 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 6944434560 is about 83333.2740266456. The cubic root of 6944434560 is about 1907.8561657326.

The spelling of 6944434560 in words is "six billion, nine hundred forty-four million, four hundred thirty-four thousand, five hundred sixty".