5064761520 has 720 divisors, whose sum is σ = 22151394720. Its totient is φ = 1065996288.

The previous prime is 5064761479. The next prime is 5064761549. The reversal of 5064761520 is 251674605.

It is a happy number.

5064761520 is a `hidden beast` number, since 5 + 0 + 64 + 76 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 12383076 + ... + 12383484.

It is an arithmetic number, because the mean of its divisors is an integer number (30765826).

Almost surely, 2^5064761520 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 5064761520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075697360).

5064761520 is an abundant number, since it is smaller than the sum of its proper divisors (17086633200).

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

5064761520 is a wasteful number, since it uses less digits than its factorization.

5064761520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5064761520 is about 71167.1379219370. The cubic root of 5064761520 is about 1717.3270091397.

The spelling of 5064761520 in words is "five billion, sixty-four million, seven hundred sixty-one thousand, five hundred twenty".