4663681250400 has 576 divisors, whose sum is σ = 18341889168960. Its totient is φ = 1138854297600.

The previous prime is 4663681250381. The next prime is 4663681250401. The reversal of 4663681250400 is 40521863664.

4663681250400 is a `hidden beast` number, since 4 + 6 + 63 + 6 + 81 + 2 + 504 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4663681250401) 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, 13414770 + ... + 13758030.

It is an arithmetic number, because the mean of its divisors is an integer number (31843557585).

Almost surely, 2^{4663681250400} is an apocalyptic number.

4663681250400 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 4663681250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9170944584480).

4663681250400 is an abundant number, since it is smaller than the sum of its proper divisors (13678207918560).

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

4663681250400 is a wasteful number, since it uses less digits than its factorization.

4663681250400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343344 (or 343325 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4663681250400 in words is "four trillion, six hundred sixty-three billion, six hundred eighty-one million, two hundred fifty thousand, four hundred".