9020782144 has 56 divisors (see below), whose sum is σ = 19580047200. Its totient is φ = 4089415680.

The previous prime is 9020782117. The next prime is 9020782153. The reversal of 9020782144 is 4412870209.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249912 + ... + 283720.

It is an arithmetic number, because the mean of its divisors is an integer number (349643700).

Almost surely, 2^9020782144 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 9020782144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790023600).

9020782144 is an abundant number, since it is smaller than the sum of its proper divisors (10559265056).

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

9020782144 is a wasteful number, since it uses less digits than its factorization.

9020782144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34211 (or 34201 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 9020782144 is about 94977.7981635708. The cubic root of 9020782144 is about 2081.6836515970.

The spelling of 9020782144 in words is "nine billion, twenty million, seven hundred eighty-two thousand, one hundred forty-four".