9472772800512 has 1080 divisors, whose sum is σ = 33411845008080. Its totient is φ = 2666523525120.

The previous prime is 9472772800501. The next prime is 9472772800529. The reversal of 9472772800512 is 2150082772749.

9472772800512 is a `hidden beast` number, since 9 + 47 + 2 + 7 + 7 + 2 + 80 + 0 + 512 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68149444539 + ... + 68149444677.

It is an arithmetic number, because the mean of its divisors is an integer number (30936893526).

Almost surely, 2^{9472772800512} 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 9472772800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16705922504040).

9472772800512 is an abundant number, since it is smaller than the sum of its proper divisors (23939072207568).

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

9472772800512 is an equidigital number, since it uses as much as digits as its factorization.

9472772800512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 9472772800512 in words is "nine trillion, four hundred seventy-two billion, seven hundred seventy-two million, eight hundred thousand, five hundred twelve".