968732719200 has 432 divisors, whose sum is σ = 3750907895280. Its totient is φ = 243132088320.

The previous prime is 968732719147. The next prime is 968732719211. The reversal of 968732719200 is 2917237869.

968732719200 is a `hidden beast` number, since 96 + 87 + 3 + 271 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3158236 + ... + 3451364.

It is an arithmetic number, because the mean of its divisors is an integer number (8682657165).

Almost surely, 2^968732719200 is an apocalyptic number.

968732719200 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 968732719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875453947640).

968732719200 is an abundant number, since it is smaller than the sum of its proper divisors (2782175176080).

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

968732719200 is a wasteful number, since it uses less digits than its factorization.

968732719200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293181 (or 293156 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 968732719200 in words is "nine hundred sixty-eight billion, seven hundred thirty-two million, seven hundred nineteen thousand, two hundred".