9273781440 has 1344 divisors, whose sum is σ = 43820974080. Its totient is φ = 1741824000.

The previous prime is 9273781423. The next prime is 9273781441. The reversal of 9273781440 is 441873729.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is not an unprimeable number, because it can be changed into a prime (9273781441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130616605 + ... + 130616675.

Almost surely, 2^9273781440 is an apocalyptic number.

9273781440 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 9273781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21910487040).

9273781440 is an abundant number, since it is smaller than the sum of its proper divisors (34547192640).

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

9273781440 is a wasteful number, since it uses less digits than its factorization.

9273781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 9273781440 is about 96300.4747651848. The cubic root of 9273781440 is about 2100.9656511309.

The spelling of 9273781440 in words is "nine billion, two hundred seventy-three million, seven hundred eighty-one thousand, four hundred forty".