5642824744320 has 128 divisors (see below), whose sum is σ = 17988287919840. Its totient is φ = 1504604012544.

The previous prime is 5642824744309. The next prime is 5642824744327. The reversal of 5642824744320 is 234474282465.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×5642824744320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642824744327) 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 15 ways as a sum of consecutive naturals, for example, 19936914 + ... + 20217966.

Almost surely, 2^{5642824744320} is an apocalyptic number.

It is an amenable number.

5642824744320 is an abundant number, since it is smaller than the sum of its proper divisors (12345463175520).

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

5642824744320 is a wasteful number, since it uses less digits than its factorization.

5642824744320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291532 (or 291520 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 51.

The spelling of 5642824744320 in words is "five trillion, six hundred forty-two billion, eight hundred twenty-four million, seven hundred forty-four thousand, three hundred twenty".