820970224768 has 32 divisors (see below), whose sum is σ = 1636176023820. Its totient is φ = 410322124800.

The previous prime is 820970224751. The next prime is 820970224801. The reversal of 820970224768 is 867422079028.

820970224768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 728646617664 + 92323607104 = 853608^2 + 303848^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 949393 + ... + 1594768.

Almost surely, 2^820970224768 is an apocalyptic number.

It is an amenable number.

820970224768 is a deficient number, since it is larger than the sum of its proper divisors (815205799052).

820970224768 is a wasteful number, since it uses less digits than its factorization.

820970224768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546696 (or 2546684 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 820970224768 in words is "eight hundred twenty billion, nine hundred seventy million, two hundred twenty-four thousand, seven hundred sixty-eight".