5072983344 has 400 divisors, whose sum is σ = 17826192384. Its totient is φ = 1371686400.

The previous prime is 5072983343. The next prime is 5072983361. The reversal of 5072983344 is 4433892705.

5072983344 is a `hidden beast` number, since 507 + 29 + 83 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5072983344.

It is not an unprimeable number, because it can be changed into a prime (5072983343) 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 79 ways as a sum of consecutive naturals, for example, 5744727 + ... + 5745609.

Almost surely, 2^5072983344 is an apocalyptic number.

5072983344 is a gapful number since it is divisible by the number (54) 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 5072983344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8913096192).

5072983344 is an abundant number, since it is smaller than the sum of its proper divisors (12753209040).

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

5072983344 is a wasteful number, since it uses less digits than its factorization.

5072983344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 5072983344 is about 71224.8786871554. The cubic root of 5072983344 is about 1718.2557746219.

The spelling of 5072983344 in words is "five billion, seventy-two million, nine hundred eighty-three thousand, three hundred forty-four".