9774445824000 has 4608 divisors, whose sum is σ = 45676141056000. Its totient is φ = 2043740160000.

The previous prime is 9774445823977. The next prime is 9774445824037. The reversal of 9774445824000 is 4285444779.

9774445824000 is a `hidden beast` number, since 97 + 74 + 4 + 4 + 5 + 82 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×9774445824000² (a number of 27 digits) contains 22 as substring.

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

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 383 ways as a sum of consecutive naturals, for example, 315304703985 + ... + 315304704015.

It is an arithmetic number, because the mean of its divisors is an integer number (9912357000).

Almost surely, 2^{9774445824000} is an apocalyptic number.

9774445824000 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 9774445824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22838070528000).

9774445824000 is an abundant number, since it is smaller than the sum of its proper divisors (35901695232000).

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

9774445824000 is a wasteful number, since it uses less digits than its factorization.

9774445824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 9774445824000 in words is "nine trillion, seven hundred seventy-four billion, four hundred forty-five million, eight hundred twenty-four thousand".