9223284672000 has 2240 divisors, whose sum is σ = 40724447182848. Its totient is φ = 2037934080000.

The previous prime is 9223284671927. The next prime is 9223284672001. The reversal of 9223284672000 is 2764823229.

9223284672000 is a `hidden beast` number, since 92 + 23 + 284 + 67 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9223284672001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10124351545 + ... + 10124352455.

Almost surely, 2^{9223284672000} is an apocalyptic number.

9223284672000 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 9223284672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20362223591424).

9223284672000 is an abundant number, since it is smaller than the sum of its proper divisors (31501162510848).

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

9223284672000 is an frugal number, since it uses more digits than its factorization.

9223284672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 9223284672000 in words is "nine trillion, two hundred twenty-three billion, two hundred eighty-four million, six hundred seventy-two thousand".