960465073176 has 480 divisors, whose sum is σ = 3237131779200. Its totient is φ = 265009812480.

The previous prime is 960465073163. The next prime is 960465073237. The reversal of 960465073176 is 671370564069.

It is a happy number.

960465073176 is a `hidden beast` number, since 9 + 6 + 0 + 465 + 0 + 7 + 3 + 176 = 666.

960465073176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 745123540 + ... + 745124828.

It is an arithmetic number, because the mean of its divisors is an integer number (6744024540).

Almost surely, 2^960465073176 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 960465073176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618565889600).

960465073176 is an abundant number, since it is smaller than the sum of its proper divisors (2276666706024).

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

960465073176 is a wasteful number, since it uses less digits than its factorization.

960465073176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2089 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 960465073176 in words is "nine hundred sixty billion, four hundred sixty-five million, seventy-three thousand, one hundred seventy-six".