7369661242944 has 1701 divisors, whose sum is σ = 29508128527059. Its totient is φ = 1751315005440.

The previous prime is 7369661242871. The next prime is 7369661242949. The reversal of 7369661242944 is 4492421669637.

The square root of 7369661242944 is 2714712.

It is a perfect power (a square), and thus also a powerful number.

7369661242944 is a `hidden beast` number, since 7 + 3 + 6 + 9 + 6 + 612 + 4 + 2 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5499550292544 + 1870110950400 = 2345112^2 + 1367520^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7369661242949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 65218241032 + ... + 65218241144.

Almost surely, 2^{7369661242944} is an apocalyptic number.

7369661242944 is the 2714712-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7369661242944

7369661242944 is an abundant number, since it is smaller than the sum of its proper divisors (22138467284115).

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

7369661242944 is a wasteful number, since it uses less digits than its factorization.

7369661242944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 149 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 7369661242944 in words is "seven trillion, three hundred sixty-nine billion, six hundred sixty-one million, two hundred forty-two thousand, nine hundred forty-four".