5219463744 has 420 divisors, whose sum is σ = 17437795452. Its totient is φ = 1541928960.

The previous prime is 5219463731. The next prime is 5219463757. The reversal of 5219463744 is 4473649125.

5219463744 is a `hidden beast` number, since 5 + 2 + 1 + 9 + 4 + 637 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5219463731) and next prime (5219463757).

It can be written as a sum of positive squares in 2 ways, for example, as 2650190400 + 2569273344 = 51480^2 + 50688^2 .

Its product of digits (725760) is a multiple of the sum of its prime factors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 5219463744.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 33244914 + ... + 33245070.

Almost surely, 2^5219463744 is an apocalyptic number.

5219463744 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 5219463744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718897726).

5219463744 is an abundant number, since it is smaller than the sum of its proper divisors (12218331708).

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

5219463744 is a wasteful number, since it uses less digits than its factorization.

5219463744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 226 counting only the distinct ones).

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

The square root of 5219463744 is about 72245.8562410330. The cubic root of 5219463744 is about 1734.6370906419.

The spelling of 5219463744 in words is "five billion, two hundred nineteen million, four hundred sixty-three thousand, seven hundred forty-four".