8029906819752 has 32 divisors (see below), whose sum is σ = 20541622099680. Its totient is φ = 2614388266560.

The previous prime is 8029906819747. The next prime is 8029906819757. The reversal of 8029906819752 is 2579186099208.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8029906819747) and next prime (8029906819757).

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (8029906819757) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3890457699 + ... + 3890459762.

It is an arithmetic number, because the mean of its divisors is an integer number (641925690615).

Almost surely, 2^{8029906819752} is an apocalyptic number.

It is an amenable number.

8029906819752 is an abundant number, since it is smaller than the sum of its proper divisors (12511715279928).

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

8029906819752 is a wasteful number, since it uses less digits than its factorization.

8029906819752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7780917513 (or 7780917509 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 66.

The spelling of 8029906819752 in words is "eight trillion, twenty-nine billion, nine hundred six million, eight hundred nineteen thousand, seven hundred fifty-two".