9265042080 has 288 divisors, whose sum is σ = 36273339648. Its totient is φ = 2109542400.

The previous prime is 9265042063. The next prime is 9265042097. The reversal of 9265042080 is 802405629.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9265042063) and next prime (9265042097).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2830845 + ... + 2834115.

It is an arithmetic number, because the mean of its divisors is an integer number (125949096).

Almost surely, 2^9265042080 is an apocalyptic number.

9265042080 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 9265042080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18136669824).

9265042080 is an abundant number, since it is smaller than the sum of its proper divisors (27008297568).

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

9265042080 is a wasteful number, since it uses less digits than its factorization.

9265042080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9265042080 is about 96255.0885927596. The cubic root of 9265042080 is about 2100.3054793704.

The spelling of 9265042080 in words is "nine billion, two hundred sixty-five million, forty-two thousand, eighty".