5786340624 has 75 divisors (see below), whose sum is σ = 16755278133. Its totient is φ = 1927867392.

The previous prime is 5786340613. The next prime is 5786340641. The reversal of 5786340624 is 4260436875.

The square root of 5786340624 is 76068.

It is a perfect power (a square), and thus also a powerful number.

5786340624 is a `hidden beast` number, since 5 + 7 + 8 + 634 + 0 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5475600 + 5780865024 = 2340^2 + 76032^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5786340624.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2737392 + ... + 2739504.

Almost surely, 2^5786340624 is an apocalyptic number.

5786340624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5786340624 is the 76068-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5786340624

5786340624 is an abundant number, since it is smaller than the sum of its proper divisors (10968937509).

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

5786340624 is an frugal number, since it uses more digits than its factorization.

5786340624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 2118 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The cubic root of 5786340624 is about 1795.2902207367.

The spelling of 5786340624 in words is "five billion, seven hundred eighty-six million, three hundred forty thousand, six hundred twenty-four".