7744428833568 has 144 divisors (see below), whose sum is σ = 23655936233664. Its totient is φ = 2211966973440.

The previous prime is 7744428833563. The next prime is 7744428833569. The reversal of 7744428833568 is 8653388244477.

It is a super-2 number, since 2×7744428833568² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7744428833563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14130021 + ... + 14667867.

It is an arithmetic number, because the mean of its divisors is an integer number (164277334956).

Almost surely, 2^{7744428833568} 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 7744428833568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11827968116832).

7744428833568 is an abundant number, since it is smaller than the sum of its proper divisors (15911507400096).

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

7744428833568 is a wasteful number, since it uses less digits than its factorization.

7744428833568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540935 (or 540920 counting only the distinct ones).

The product of its digits is 867041280, while the sum is 69.

The spelling of 7744428833568 in words is "seven trillion, seven hundred forty-four billion, four hundred twenty-eight million, eight hundred thirty-three thousand, five hundred sixty-eight".