9082029640320 has 1920 divisors, whose sum is σ = 40842469760400. Its totient is φ = 1906252185600.

The previous prime is 9082029640309. The next prime is 9082029640357. The reversal of 9082029640320 is 230469202809.

It can be written as a sum of positive squares in 8 ways, for example, as 1423172649024 + 7658856991296 = 1192968^2 + 2767464^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7562055720 + ... + 7562056920.

Almost surely, 2^{9082029640320} is an apocalyptic number.

9082029640320 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 9082029640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20421234880200).

9082029640320 is an abundant number, since it is smaller than the sum of its proper divisors (31760440120080).

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

9082029640320 is a wasteful number, since it uses less digits than its factorization.

9082029640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 9082029640320 in words is "nine trillion, eighty-two billion, twenty-nine million, six hundred forty thousand, three hundred twenty".