5023687680 has 792 divisors, whose sum is σ = 20640981816. Its totient is φ = 1124597760.

The previous prime is 5023687673. The next prime is 5023687687. The reversal of 5023687680 is 867863205.

5023687680 is a `hidden beast` number, since 502 + 3 + 6 + 87 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5023687673) and next prime (5023687687).

It can be written as a sum of positive squares in 4 ways, for example, as 1526621184 + 3497066496 = 39072^2 + 59136^2 .

It is a tau number, because it is divible by the number of its divisors (792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5023687687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94786534 + ... + 94786586.

Almost surely, 2^5023687680 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 5023687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10320490908).

5023687680 is an abundant number, since it is smaller than the sum of its proper divisors (15617294136).

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

5023687680 is a wasteful number, since it uses less digits than its factorization.

5023687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 5023687680 is about 70877.9773977785. The cubic root of 5023687680 is about 1712.6720510535.

The spelling of 5023687680 in words is "five billion, twenty-three million, six hundred eighty-seven thousand, six hundred eighty".