64223967744 has 320 divisors, whose sum is σ = 196360348800. Its totient is φ = 20710785024.

The previous prime is 64223967721. The next prime is 64223967749. The reversal of 64223967744 is 44776932246.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (64223967749) 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 31 ways as a sum of consecutive naturals, for example, 157026612 + ... + 157027020.

It is an arithmetic number, because the mean of its divisors is an integer number (613626090).

Almost surely, 2^64223967744 is an apocalyptic number.

64223967744 is a gapful number since it is divisible by the number (64) 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 64223967744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98180174400).

64223967744 is an abundant number, since it is smaller than the sum of its proper divisors (132136381056).

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

64223967744 is a wasteful number, since it uses less digits than its factorization.

64223967744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 758 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 64223967744 in words is "sixty-four billion, two hundred twenty-three million, nine hundred sixty-seven thousand, seven hundred forty-four".