4326690816000 has 2304 divisors, whose sum is σ = 19316941413120. Its totient is φ = 945959731200.

The previous prime is 4326690815999. The next prime is 4326690816037. The reversal of 4326690816000 is 6180966234.

4326690816000 is a `hidden beast` number, since 4 + 32 + 6 + 6 + 9 + 0 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 143 ways as a sum of consecutive naturals, for example, 188116991989 + ... + 188116992011.

It is an arithmetic number, because the mean of its divisors is an integer number (8384089155).

Almost surely, 2^{4326690816000} is an apocalyptic number.

4326690816000 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 4326690816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658470706560).

4326690816000 is an abundant number, since it is smaller than the sum of its proper divisors (14990250597120).

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

4326690816000 is an frugal number, since it uses more digits than its factorization.

4326690816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4326690816000 in words is "four trillion, three hundred twenty-six billion, six hundred ninety million, eight hundred sixteen thousand".