9070848000 has 576 divisors, whose sum is σ = 34015887360. Its totient is φ = 2322432000.

The previous prime is 9070847999. The next prime is 9070848037. The reversal of 9070848000 is 8480709.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 71423937 + ... + 71424063.

It is an arithmetic number, because the mean of its divisors is an integer number (59055360).

Almost surely, 2^9070848000 is an apocalyptic number.

9070848000 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 9070848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007943680).

9070848000 is an abundant number, since it is smaller than the sum of its proper divisors (24945039360).

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

9070848000 is a wasteful number, since it uses less digits than its factorization.

9070848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 9070848000 is about 95240.9995747630. Note that the first 3 decimals coincide. The cubic root of 9070848000 is about 2085.5277031531.

The spelling of 9070848000 in words is "nine billion, seventy million, eight hundred forty-eight thousand".