5814870768 has 400 divisors, whose sum is σ = 19973324800. Its totient is φ = 1632306816.

The previous prime is 5814870767. The next prime is 5814870857. The reversal of 5814870768 is 8670784185.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5814870767) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45786321 + ... + 45786447.

It is an arithmetic number, because the mean of its divisors is an integer number (49933312).

Almost surely, 2^5814870768 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 5814870768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986662400).

5814870768 is an abundant number, since it is smaller than the sum of its proper divisors (14158454032).

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

5814870768 is a wasteful number, since it uses less digits than its factorization.

5814870768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The square root of 5814870768 is about 76255.2999338407. The cubic root of 5814870768 is about 1798.2360051882.

The spelling of 5814870768 in words is "five billion, eight hundred fourteen million, eight hundred seventy thousand, seven hundred sixty-eight".