5019056640 has 360 divisors, whose sum is σ = 18836969580. Its totient is φ = 1234501632.

The previous prime is 5019056639. The next prime is 5019056641. The reversal of 5019056640 is 466509105.

5019056640 is a `hidden beast` number, since 5 + 0 + 1 + 9 + 0 + 5 + 6 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (5019056639) and next prime (5019056641).

It can be written as a sum of positive squares in 6 ways, for example, as 1119303936 + 3899752704 = 33456^2 + 62448^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5019056595 and 5019056604.

It is not an unprimeable number, because it can be changed into a prime (5019056641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3893116 + ... + 3894404.

Almost surely, 2^5019056640 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 5019056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9418484790).

5019056640 is an abundant number, since it is smaller than the sum of its proper divisors (13817912940).

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

5019056640 is a wasteful number, since it uses less digits than its factorization.

5019056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5019056640 is about 70845.3007615890. The cubic root of 5019056640 is about 1712.1456189642.

It can be divided in two parts, 5019056 and 640, that added together give a triangular number (5019696 = T₃₁₆₈).

The spelling of 5019056640 in words is "five billion, nineteen million, fifty-six thousand, six hundred forty".