968550614095680 has 1344 divisors, whose sum is σ = 4399567187079168. Its totient is φ = 189341086187520.

The previous prime is 968550614095489. The next prime is 968550614095699. The reversal of 968550614095680 is 86590416055869.

It is a happy number.

968550614095680 is a `hidden beast` number, since 9 + 6 + 8 + 5 + 50 + 6 + 1 + 4 + 0 + 9 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 968550614095599 and 968550614095608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9436058439 + ... + 9436161081.

Almost surely, 2^{968550614095680} is an apocalyptic number.

968550614095680 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 968550614095680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199783593539584).

968550614095680 is an abundant number, since it is smaller than the sum of its proper divisors (3431016572983488).

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

968550614095680 is a wasteful number, since it uses less digits than its factorization.

968550614095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105204 (or 105191 counting only the distinct ones).

The product of its (nonzero) digits is 559872000, while the sum is 72.

The spelling of 968550614095680 in words is "nine hundred sixty-eight trillion, five hundred fifty billion, six hundred fourteen million, ninety-five thousand, six hundred eighty".