581282645664 has 864 divisors, whose sum is σ = 1977953826240. Its totient is φ = 148542750720.

The previous prime is 581282645659. The next prime is 581282645711. The reversal of 581282645664 is 466546282185.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 143 ways as a sum of consecutive naturals, for example, 7962775932 + ... + 7962776004.

It is an arithmetic number, because the mean of its divisors is an integer number (2289298410).

Almost surely, 2^581282645664 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 581282645664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988976913120).

581282645664 is an abundant number, since it is smaller than the sum of its proper divisors (1396671180576).

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

581282645664 is a wasteful number, since it uses less digits than its factorization.

581282645664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 198 counting only the distinct ones).

The product of its digits is 22118400, while the sum is 57.

The spelling of 581282645664 in words is "five hundred eighty-one billion, two hundred eighty-two million, six hundred forty-five thousand, six hundred sixty-four".