968424475200 has 2016 divisors, whose sum is σ = 4357599095808. Its totient is φ = 185794560000.

The previous prime is 968424475181. The next prime is 968424475201. The reversal of 968424475200 is 2574424869.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (968424475201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1611354900 + ... + 1611355500.

It is an arithmetic number, because the mean of its divisors is an integer number (2161507488).

Almost surely, 2^968424475200 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 968424475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178799547904).

968424475200 is an abundant number, since it is smaller than the sum of its proper divisors (3389174620608).

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

968424475200 is a wasteful number, since it uses less digits than its factorization.

968424475200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 968424475200 in words is "nine hundred sixty-eight billion, four hundred twenty-four million, four hundred seventy-five thousand, two hundred".