968824863676800 has 768 divisors, whose sum is σ = 3822307356672000. Its totient is φ = 238234095820800.

The previous prime is 968824863676799. The next prime is 968824863676807. The reversal of 968824863676800 is 8676368428869.

968824863676800 is a `hidden beast` number, since 9 + 6 + 8 + 8 + 248 + 6 + 367 + 6 + 8 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 968824863676800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (968824863676807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1090183041 + ... + 1091071359.

It is an arithmetic number, because the mean of its divisors is an integer number (4976962704000).

Almost surely, 2^{968824863676800} is an apocalyptic number.

968824863676800 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 968824863676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911153678336000).

968824863676800 is an abundant number, since it is smaller than the sum of its proper divisors (2853482492995200).

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

968824863676800 is a wasteful number, since it uses less digits than its factorization.

968824863676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 889336 (or 889313 counting only the distinct ones).

The product of its (nonzero) digits is 8026324992, while the sum is 81.

The spelling of 968824863676800 in words is "nine hundred sixty-eight trillion, eight hundred twenty-four billion, eight hundred sixty-three million, six hundred seventy-six thousand, eight hundred".