9629570966400 has 576 divisors, whose sum is σ = 42839094729600. Its totient is φ = 2000949350400.

The previous prime is 9629570966377. The next prime is 9629570966401. The reversal of 9629570966400 is 46690759269.

9629570966400 is a `hidden beast` number, since 96 + 2 + 9 + 57 + 0 + 96 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9629570966401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46431 + ... + 4388769.

It is an arithmetic number, because the mean of its divisors is an integer number (74373428350).

Almost surely, 2^{9629570966400} is an apocalyptic number.

9629570966400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9629570966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21419547364800).

9629570966400 is an abundant number, since it is smaller than the sum of its proper divisors (33209523763200).

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

9629570966400 is a wasteful number, since it uses less digits than its factorization.

9629570966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342387 (or 4342367 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 9629570966400 in words is "nine trillion, six hundred twenty-nine billion, five hundred seventy million, nine hundred sixty-six thousand, four hundred".