5812712640 has 336 divisors, whose sum is σ = 22940394048. Its totient is φ = 1323343872.

The previous prime is 5812712599. The next prime is 5812712669. The reversal of 5812712640 is 462172185.

5812712640 is a `hidden beast` number, since 5 + 8 + 1 + 2 + 7 + 1 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 = 5812712595 and 5812712604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7519294 + ... + 7520066.

Almost surely, 2^5812712640 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 5812712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11470197024).

5812712640 is an abundant number, since it is smaller than the sum of its proper divisors (17127681408).

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

5812712640 is a wasteful number, since it uses less digits than its factorization.

5812712640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5812712640 is about 76241.1479451877. The cubic root of 5812712640 is about 1798.0135122137.

The spelling of 5812712640 in words is "five billion, eight hundred twelve million, seven hundred twelve thousand, six hundred forty".