968756108670 has 144 divisors (see below), whose sum is σ = 2930884330608. Its totient is φ = 221362606080.

The previous prime is 968756108629. The next prime is 968756108707. The reversal of 968756108670 is 76801657869.

968756108670 is a `hidden beast` number, since 9 + 6 + 8 + 7 + 5 + 610 + 8 + 6 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 968756108598 and 968756108607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15257790 + ... + 15321150.

It is an arithmetic number, because the mean of its divisors is an integer number (20353363407).

Almost surely, 2^968756108670 is an apocalyptic number.

968756108670 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 968756108670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465442165304).

968756108670 is an abundant number, since it is smaller than the sum of its proper divisors (1962128221938).

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

968756108670 is a wasteful number, since it uses less digits than its factorization.

968756108670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66855 (or 66845 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 968756108670 in words is "nine hundred sixty-eight billion, seven hundred fifty-six million, one hundred eight thousand, six hundred seventy".