9002119680 has 480 divisors, whose sum is σ = 33513480000. Its totient is φ = 2313142272.

The previous prime is 9002119673. The next prime is 9002119697. The reversal of 9002119680 is 869112009.

It is a tau number, because it is divible by the number of its divisors (480).

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, 18040071 + ... + 18040569.

It is an arithmetic number, because the mean of its divisors is an integer number (69819750).

Almost surely, 2^9002119680 is an apocalyptic number.

9002119680 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 9002119680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16756740000).

9002119680 is an abundant number, since it is smaller than the sum of its proper divisors (24511360320).

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

9002119680 is an equidigital number, since it uses as much as digits as its factorization.

9002119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 9002119680 is about 94879.5008418573. The cubic root of 9002119680 is about 2080.2471106807.

The spelling of 9002119680 in words is "nine billion, two million, one hundred nineteen thousand, six hundred eighty".