968077082952 has 256 divisors, whose sum is σ = 3104259840000. Its totient is φ = 273808200960.

The previous prime is 968077082939. The next prime is 968077082957. The reversal of 968077082952 is 259280770869.

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

It is a self number, because there is not a number n which added to its sum of digits gives 968077082952.

It is not an unprimeable number, because it can be changed into a prime (968077082957) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258911499 + ... + 258915237.

It is an arithmetic number, because the mean of its divisors is an integer number (12126015000).

Almost surely, 2^968077082952 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 968077082952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552129920000).

968077082952 is an abundant number, since it is smaller than the sum of its proper divisors (2136182757048).

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

968077082952 is a wasteful number, since it uses less digits than its factorization.

968077082952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5441 (or 5431 counting only the distinct ones).

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

The spelling of 968077082952 in words is "nine hundred sixty-eight billion, seventy-seven million, eighty-two thousand, nine hundred fifty-two".