9076536000 has 1344 divisors, whose sum is σ = 41538631680. Its totient is φ = 1916006400.

The previous prime is 9076535983. The next prime is 9076536017. The reversal of 9076536000 is 6356709.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9076535983) and next prime (9076536017).

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 312983986 + ... + 312984014.

It is an arithmetic number, because the mean of its divisors is an integer number (30906720).

Almost surely, 2^9076536000 is an apocalyptic number.

9076536000 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 9076536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20769315840).

9076536000 is an abundant number, since it is smaller than the sum of its proper divisors (32462095680).

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

9076536000 is a wasteful number, since it uses less digits than its factorization.

9076536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 9076536000 is about 95270.8559843985. The cubic root of 9076536000 is about 2085.9635316787.

The spelling of 9076536000 in words is "nine billion, seventy-six million, five hundred thirty-six thousand".