4683321676800 has 4224 divisors, whose sum is σ = 21614936555520. Its totient is φ = 980995276800.

The previous prime is 4683321676751. The next prime is 4683321676837. The reversal of 4683321676800 is 86761233864.

4683321676800 is a `hidden beast` number, since 468 + 3 + 32 + 1 + 6 + 76 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 108914457579 + ... + 108914457621.

It is an arithmetic number, because the mean of its divisors is an integer number (5117172480).

Almost surely, 2^{4683321676800} is an apocalyptic number.

4683321676800 is a gapful number since it is divisible by the number (40) 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 4683321676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10807468277760).

4683321676800 is an abundant number, since it is smaller than the sum of its proper divisors (16931614878720).

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

4683321676800 is a wasteful number, since it uses less digits than its factorization.

4683321676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 4683321676800 in words is "four trillion, six hundred eighty-three billion, three hundred twenty-one million, six hundred seventy-six thousand, eight hundred".