9627963345 has 480 divisors, whose sum is σ = 24916598784. Its totient is φ = 3448811520.

The previous prime is 9627963341. The next prime is 9627963383. The reversal of 9627963345 is 5433697269.

9627963345 is a `hidden beast` number, since 9 + 627 + 9 + 6 + 3 + 3 + 4 + 5 = 666.

It is not a de Polignac number, because 9627963345 - 2² = 9627963341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9627963291 and 9627963300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9627963341) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 75810672 + ... + 75810798.

Almost surely, 2^9627963345 is an apocalyptic number.

It is an amenable number.

9627963345 is an abundant number, since it is smaller than the sum of its proper divisors (15288635439).

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

9627963345 is a wasteful number, since it uses less digits than its factorization.

9627963345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 183 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 54.

The square root of 9627963345 is about 98122.1857940395. The cubic root of 9627963345 is about 2127.3787135422.

The spelling of 9627963345 in words is "nine billion, six hundred twenty-seven million, nine hundred sixty-three thousand, three hundred forty-five".