9629965629072 has 240 divisors, whose sum is σ = 28859328978480. Its totient is φ = 2986981982208.

The previous prime is 9629965629013. The next prime is 9629965629079. The reversal of 9629965629072 is 2709265699269.

It can be written as a sum of positive squares in 8 ways, for example, as 146793194496 + 9483172434576 = 383136^2 + 3079476^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (9629965629079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239573008 + ... + 239613200.

It is an arithmetic number, because the mean of its divisors is an integer number (120247204077).

Almost surely, 2^{9629965629072} 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 9629965629072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429664489240).

9629965629072 is an abundant number, since it is smaller than the sum of its proper divisors (19229363349408).

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

9629965629072 is a wasteful number, since it uses less digits than its factorization.

9629965629072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41330 (or 41321 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 9629965629072 in words is "nine trillion, six hundred twenty-nine billion, nine hundred sixty-five million, six hundred twenty-nine thousand, seventy-two".