5629644864 has 168 divisors, whose sum is σ = 16915010112. Its totient is φ = 1786752000.

The previous prime is 5629644859. The next prime is 5629644869. The reversal of 5629644864 is 4684469265.

5629644864 is a `hidden beast` number, since 5 + 629 + 6 + 4 + 4 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5629644859) and next prime (5629644869).

It is a self number, because there is not a number n which added to its sum of digits gives 5629644864.

It is not an unprimeable number, because it can be changed into a prime (5629644869) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3324402 + ... + 3326094.

It is an arithmetic number, because the mean of its divisors is an integer number (100684584).

Almost surely, 2^5629644864 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 5629644864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8457505056).

5629644864 is an abundant number, since it is smaller than the sum of its proper divisors (11285365248).

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

5629644864 is a wasteful number, since it uses less digits than its factorization.

5629644864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1985 (or 1972 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The square root of 5629644864 is about 75030.9593701160. The cubic root of 5629644864 is about 1778.9360371411.

The spelling of 5629644864 in words is "five billion, six hundred twenty-nine million, six hundred forty-four thousand, eight hundred sixty-four".