961878660768 has 192 divisors, whose sum is σ = 2954510899200. Its totient is φ = 303609772800.

The previous prime is 961878660767. The next prime is 961878660779. The reversal of 961878660768 is 867066878169.

961878660768 is a `hidden beast` number, since 9 + 6 + 1 + 8 + 7 + 8 + 6 + 607 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 961878660696 and 961878660705.

It is not an unprimeable number, because it can be changed into a prime (961878660767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38581555 + ... + 38606477.

It is an arithmetic number, because the mean of its divisors is an integer number (15388077600).

Almost surely, 2^961878660768 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 961878660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477255449600).

961878660768 is an abundant number, since it is smaller than the sum of its proper divisors (1992632238432).

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

961878660768 is a wasteful number, since it uses less digits than its factorization.

961878660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27312 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 72.

The spelling of 961878660768 in words is "nine hundred sixty-one billion, eight hundred seventy-eight million, six hundred sixty thousand, seven hundred sixty-eight".