675440044576 has 288 divisors, whose sum is σ = 1585169792640. Its totient is φ = 280798003200.

The previous prime is 675440044571. The next prime is 675440044597.

675440044576 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (675440044571) by changing a digit.

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, 552280701 + ... + 552281923.

It is an arithmetic number, because the mean of its divisors is an integer number (5504061780).

Almost surely, 2^675440044576 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 675440044576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792584896320).

675440044576 is an abundant number, since it is smaller than the sum of its proper divisors (909729748064).

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

675440044576 is a wasteful number, since it uses less digits than its factorization.

675440044576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 52.

It can be divided in two parts, 6754400 and 44576, that added together give a palindrome (6798976).

The spelling of 675440044576 in words is "six hundred seventy-five billion, four hundred forty million, forty-four thousand, five hundred seventy-six".