7512816768 has 128 divisors (see below), whose sum is σ = 20659683840. Its totient is φ = 2416435200.

The previous prime is 7512816757. The next prime is 7512816793. The reversal of 7512816768 is 8676182157.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 7512816768.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5439438 + ... + 5440818.

It is an arithmetic number, because the mean of its divisors is an integer number (161403780).

Almost surely, 2^7512816768 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 7512816768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10329841920).

7512816768 is an abundant number, since it is smaller than the sum of its proper divisors (13146867072).

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

7512816768 is a wasteful number, since it uses less digits than its factorization.

7512816768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1886 (or 1874 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 51.

The square root of 7512816768 is about 86676.5064362887. The cubic root of 7512816768 is about 1958.5482071506.

The spelling of 7512816768 in words is "seven billion, five hundred twelve million, eight hundred sixteen thousand, seven hundred sixty-eight".