968465203200 has 1440 divisors, whose sum is σ = 4095612864000. Its totient is φ = 221891788800.

The previous prime is 968465203151. The next prime is 968465203207. The reversal of 968465203200 is 2302564869.

968465203200 is a `hidden beast` number, since 9 + 68 + 46 + 520 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (968465203207) 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 95 ways as a sum of consecutive naturals, for example, 2311372591 + ... + 2311373009.

It is an arithmetic number, because the mean of its divisors is an integer number (2844175600).

Almost surely, 2^968465203200 is an apocalyptic number.

968465203200 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 968465203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047806432000).

968465203200 is an abundant number, since it is smaller than the sum of its proper divisors (3127147660800).

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

968465203200 is a wasteful number, since it uses less digits than its factorization.

968465203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 968465203200 in words is "nine hundred sixty-eight billion, four hundred sixty-five million, two hundred three thousand, two hundred".