960003202080 has 288 divisors, whose sum is σ = 3446868479040. Its totient is φ = 223870832640.

The previous prime is 960003202079. The next prime is 960003202153. The reversal of 960003202080 is 80202300069.

It is a super-4 number, since 4×960003202080⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1229850 + ... + 1852710.

It is an arithmetic number, because the mean of its divisors is an integer number (11968293330).

Almost surely, 2^960003202080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 960003202080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723434239520).

960003202080 is an abundant number, since it is smaller than the sum of its proper divisors (2486865276960).

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

960003202080 is a wasteful number, since it uses less digits than its factorization.

960003202080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622924 (or 622903 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 960003202080 in words is "nine hundred sixty billion, three million, two hundred two thousand, eighty".