968273172480 has 384 divisors, whose sum is σ = 3452599987200. Its totient is φ = 230224822272.

The previous prime is 968273172479. The next prime is 968273172487. The reversal of 968273172480 is 84271372869.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 968273172480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968273172487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9873769 + ... + 9971351.

It is an arithmetic number, because the mean of its divisors is an integer number (8991145800).

Almost surely, 2^968273172480 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 968273172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726299993600).

968273172480 is an abundant number, since it is smaller than the sum of its proper divisors (2484326814720).

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

968273172480 is a wasteful number, since it uses less digits than its factorization.

968273172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97649 (or 97629 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 968273172480 in words is "nine hundred sixty-eight billion, two hundred seventy-three million, one hundred seventy-two thousand, four hundred eighty".