960263682048 has 1728 divisors, whose sum is σ = 3588839654400. Its totient is φ = 245248819200.

The previous prime is 960263682047. The next prime is 960263682061. The reversal of 960263682048 is 840286362069.

960263682048 is a `hidden beast` number, since 9 + 602 + 6 + 3 + 6 + 8 + 20 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 960263681985 and 960263682003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (960263682047) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22331713515 + ... + 22331713557.

It is an arithmetic number, because the mean of its divisors is an integer number (2076874800).

Almost surely, 2^960263682048 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 960263682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794419827200).

960263682048 is an abundant number, since it is smaller than the sum of its proper divisors (2628575972352).

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

960263682048 is a wasteful number, since it uses less digits than its factorization.

960263682048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 960263682048 in words is "nine hundred sixty billion, two hundred sixty-three million, six hundred eighty-two thousand, forty-eight".