960097761680 has 40 divisors (see below), whose sum is σ = 2232319678200. Its totient is φ = 384023211008.

The previous prime is 960097761673. The next prime is 960097761737. The reversal of 960097761680 is 86167790069.

It can be written as a sum of positive squares in 4 ways, for example, as 58782972304 + 901314789376 = 242452^2 + 949376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1801916 + ... + 2273124.

It is an arithmetic number, because the mean of its divisors is an integer number (55807991955).

Almost surely, 2^960097761680 is an apocalyptic number.

It is an amenable number.

960097761680 is an abundant number, since it is smaller than the sum of its proper divisors (1272221916520).

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

960097761680 is a wasteful number, since it uses less digits than its factorization.

960097761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496691 (or 496685 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 59.

The spelling of 960097761680 in words is "nine hundred sixty billion, ninety-seven million, seven hundred sixty-one thousand, six hundred eighty".