9625705334784 has 1152 divisors, whose sum is σ = 36483548774400. Its totient is φ = 2479521300480.

The previous prime is 9625705334783. The next prime is 9625705334803. The reversal of 9625705334784 is 4874335075269.

It is a happy number.

9625705334784 is a `hidden beast` number, since 9 + 6 + 2 + 57 + 0 + 533 + 47 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (9625705334783) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3785175817 + ... + 3785178359.

It is an arithmetic number, because the mean of its divisors is an integer number (31669747200).

Almost surely, 2^{9625705334784} 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 9625705334784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18241774387200).

9625705334784 is an abundant number, since it is smaller than the sum of its proper divisors (26857843439616).

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

9625705334784 is a wasteful number, since it uses less digits than its factorization.

9625705334784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 9625705334784 in words is "nine trillion, six hundred twenty-five billion, seven hundred five million, three hundred thirty-four thousand, seven hundred eighty-four".