5121761664 has 64 divisors (see below), whose sum is σ = 13711933440. Its totient is φ = 1693794816.

The previous prime is 5121761663. The next prime is 5121761669. The reversal of 5121761664 is 4661671215.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5121761663) 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 7 ways as a sum of consecutive naturals, for example, 3744 + ... + 101279.

It is an arithmetic number, because the mean of its divisors is an integer number (214248960).

Almost surely, 2^5121761664 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 5121761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6855966720).

5121761664 is an abundant number, since it is smaller than the sum of its proper divisors (8590171776).

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

5121761664 is a wasteful number, since it uses less digits than its factorization.

5121761664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105167 (or 105155 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 5121761664 is about 71566.4842227142. The cubic root of 5121761664 is about 1723.7454059222.

The spelling of 5121761664 in words is "five billion, one hundred twenty-one million, seven hundred sixty-one thousand, six hundred sixty-four".