4726684368000 has 2048 divisors, whose sum is σ = 21043556352000. Its totient is φ = 1032180019200.

The previous prime is 4726684367819. The next prime is 4726684368041. The reversal of 4726684368000 is 8634866274.

4726684368000 is a `hidden beast` number, since 4 + 72 + 6 + 68 + 436 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×4726684368000² (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5633711581 + ... + 5633712419.

It is an arithmetic number, because the mean of its divisors is an integer number (10275174000).

Almost surely, 2^{4726684368000} is an apocalyptic number.

4726684368000 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 4726684368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10521778176000).

4726684368000 is an abundant number, since it is smaller than the sum of its proper divisors (16316871984000).

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

4726684368000 is an frugal number, since it uses more digits than its factorization.

4726684368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 879 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 4726684368000 in words is "four trillion, seven hundred twenty-six billion, six hundred eighty-four million, three hundred sixty-eight thousand".