960740161920 has 3072 divisors, whose sum is σ = 4671665280000. Its totient is φ = 183936614400.

The previous prime is 960740161903. The next prime is 960740161933. The reversal of 960740161920 is 29161047069.

960740161920 is a `hidden beast` number, since 9 + 6 + 0 + 7 + 4 + 0 + 1 + 619 + 20 = 666.

960740161920 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10794833236 + ... + 10794833324.

It is an arithmetic number, because the mean of its divisors is an integer number (1520724375).

Almost surely, 2^960740161920 is an apocalyptic number.

960740161920 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 960740161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335832640000).

960740161920 is an abundant number, since it is smaller than the sum of its proper divisors (3710925118080).

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

960740161920 is a wasteful number, since it uses less digits than its factorization.

960740161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 960740161920 in words is "nine hundred sixty billion, seven hundred forty million, one hundred sixty-one thousand, nine hundred twenty".