7344936144 has 800 divisors, whose sum is σ = 28231526400. Its totient is φ = 1828915200.

The previous prime is 7344936107. The next prime is 7344936217. The reversal of 7344936144 is 4416394437.

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

Its product of digits (870912) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 7344936144.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 179144764 + ... + 179144804.

It is an arithmetic number, because the mean of its divisors is an integer number (35289408).

Almost surely, 2^7344936144 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 7344936144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115763200).

7344936144 is an abundant number, since it is smaller than the sum of its proper divisors (20886590256).

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

7344936144 is a wasteful number, since it uses less digits than its factorization.

7344936144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 97 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 7344936144 is about 85702.6029009621. The cubic root of 7344936144 is about 1943.8496683018.

The spelling of 7344936144 in words is "seven billion, three hundred forty-four million, nine hundred thirty-six thousand, one hundred forty-four".