9002045669760 has 1024 divisors, whose sum is σ = 37508510592000. Its totient is φ = 2011624243200.

The previous prime is 9002045669753. The next prime is 9002045669807. The reversal of 9002045669760 is 679665402009.

9002045669760 is a `hidden beast` number, since 9 + 0 + 0 + 2 + 0 + 4 + 566 + 9 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 9002045669697 and 9002045669706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2122621240 + ... + 2122625480.

It is an arithmetic number, because the mean of its divisors is an integer number (36629404875).

Almost surely, 2^{9002045669760} is an apocalyptic number.

9002045669760 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 9002045669760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18754255296000).

9002045669760 is an abundant number, since it is smaller than the sum of its proper divisors (28506464922240).

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

9002045669760 is a wasteful number, since it uses less digits than its factorization.

9002045669760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5152 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 9002045669760 in words is "nine trillion, two billion, forty-five million, six hundred sixty-nine thousand, seven hundred sixty".