9010275840 has 320 divisors, whose sum is σ = 32545149120. Its totient is φ = 2362245120.

The previous prime is 9010275809. The next prime is 9010275847. The reversal of 9010275840 is 485720109.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9010275795 and 9010275804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9010275847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4215252 + ... + 4217388.

It is an arithmetic number, because the mean of its divisors is an integer number (101703591).

Almost surely, 2^9010275840 is an apocalyptic number.

9010275840 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 9010275840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16272574560).

9010275840 is an abundant number, since it is smaller than the sum of its proper divisors (23534873280).

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

9010275840 is a wasteful number, since it uses less digits than its factorization.

9010275840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 9010275840 is about 94922.4727870066. The cubic root of 9010275840 is about 2080.8751741192.

Adding to 9010275840 its reverse (485720109), we get a palindrome (9495995949).

The spelling of 9010275840 in words is "nine billion, ten million, two hundred seventy-five thousand, eight hundred forty".