683867121600 has 672 divisors, whose sum is σ = 2569045570560. Its totient is φ = 157870080000.

The previous prime is 683867121593. The next prime is 683867121629. The reversal of 683867121600 is 6121768386.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 683867121600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119742745 + ... + 119748455.

It is an arithmetic number, because the mean of its divisors is an integer number (3822984480).

Almost surely, 2^683867121600 is an apocalyptic number.

683867121600 is a gapful number since it is divisible by the number (60) 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 683867121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1284522785280).

683867121600 is an abundant number, since it is smaller than the sum of its proper divisors (1885178448960).

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

683867121600 is a wasteful number, since it uses less digits than its factorization.

683867121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

Adding to 683867121600 its reverse (6121768386), we get a palindrome (689988889986).

The spelling of 683867121600 in words is "six hundred eighty-three billion, eight hundred sixty-seven million, one hundred twenty-one thousand, six hundred".