9630435380544 has 672 divisors, whose sum is σ = 32778771120000. Its totient is φ = 2747652710400.

The previous prime is 9630435380509. The next prime is 9630435380557. The reversal of 9630435380544 is 4450835340369.

9630435380544 is a `hidden beast` number, since 9 + 6 + 3 + 0 + 43 + 53 + 8 + 0 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 675860332 + ... + 675874580.

Almost surely, 2^{9630435380544} 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 9630435380544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16389385560000).

9630435380544 is an abundant number, since it is smaller than the sum of its proper divisors (23148335739456).

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

9630435380544 is a wasteful number, since it uses less digits than its factorization.

9630435380544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14380 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 9630435380544 in words is "nine trillion, six hundred thirty billion, four hundred thirty-five million, three hundred eighty thousand, five hundred forty-four".