5138743680 has 960 divisors, whose sum is σ = 22733964000. Its totient is φ = 1105477632.

The previous prime is 5138743679. The next prime is 5138743699. The reversal of 5138743680 is 863478315.

5138743680 is a `hidden beast` number, since 5 + 138 + 7 + 436 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 302279032 + ... + 302279048.

Almost surely, 2^5138743680 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 5138743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11366982000).

5138743680 is an abundant number, since it is smaller than the sum of its proper divisors (17595220320).

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

5138743680 is an equidigital number, since it uses as much as digits as its factorization.

5138743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

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

The square root of 5138743680 is about 71685.0310734396. The cubic root of 5138743680 is about 1725.6484216364.

The spelling of 5138743680 in words is "five billion, one hundred thirty-eight million, seven hundred forty-three thousand, six hundred eighty".