9026272920960 has 640 divisors, whose sum is σ = 33989868000000. Its totient is φ = 2276365897728.

The previous prime is 9026272920953. The next prime is 9026272920961. The reversal of 9026272920960 is 690292726209.

9026272920960 is a `hidden beast` number, since 9 + 0 + 2 + 627 + 2 + 9 + 2 + 0 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 9026272920897 and 9026272920906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9026272920961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589983391 + ... + 589998689.

It is an arithmetic number, because the mean of its divisors is an integer number (53109168750).

Almost surely, 2^{9026272920960} is an apocalyptic number.

9026272920960 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 9026272920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16994934000000).

9026272920960 is an abundant number, since it is smaller than the sum of its proper divisors (24963595079040).

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

9026272920960 is a wasteful number, since it uses less digits than its factorization.

9026272920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15948 (or 15927 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 9026272920960 in words is "nine trillion, twenty-six billion, two hundred seventy-two million, nine hundred twenty thousand, nine hundred sixty".