1630768670361 has 32 divisors (see below), whose sum is σ = 2555888640000. Its totient is φ = 1024783421904.

The previous prime is 1630768670353. The next prime is 1630768670393.

It is a happy number.

1630768670361 is a `hidden beast` number, since 163 + 0 + 7 + 68 + 67 + 0 + 361 = 666.

1630768670361 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1630768670361 - 2³ = 1630768670353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1630768670298 and 1630768670307.

It is not an unprimeable number, because it can be changed into a prime (1630768670261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7885065 + ... + 8089238.

It is an arithmetic number, because the mean of its divisors is an integer number (79871520000).

Almost surely, 2^{1630768670361} is an apocalyptic number.

It is an amenable number.

1630768670361 is a deficient number, since it is larger than the sum of its proper divisors (925119969639).

1630768670361 is a wasteful number, since it uses less digits than its factorization.

1630768670361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15974530 (or 15974524 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 1630768670361 in words is "one trillion, six hundred thirty billion, seven hundred sixty-eight million, six hundred seventy thousand, three hundred sixty-one".