9245841564960 has 4032 divisors, whose sum is σ = 46379121191424. Its totient is φ = 1690903019520.

The previous prime is 9245841564901. The next prime is 9245841564977. The reversal of 9245841564960 is 694651485429.

9245841564960 is a `hidden beast` number, since 9 + 2 + 4 + 5 + 8 + 4 + 1 + 564 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 29539429764 + ... + 29539430076.

It is an arithmetic number, because the mean of its divisors is an integer number (11502758232).

Almost surely, 2^{9245841564960} is an apocalyptic number.

9245841564960 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 9245841564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23189560595712).

9245841564960 is an abundant number, since it is smaller than the sum of its proper divisors (37133279626464).

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

9245841564960 is a wasteful number, since it uses less digits than its factorization.

9245841564960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 9245841564960 in words is "nine trillion, two hundred forty-five billion, eight hundred forty-one million, five hundred sixty-four thousand, nine hundred sixty".