8421720307200 has 720 divisors, whose sum is σ = 30521923146000. Its totient is φ = 2217448243200.

The previous prime is 8421720307177. The next prime is 8421720307249. The reversal of 8421720307200 is 27030271248.

8421720307200 is a `hidden beast` number, since 8 + 421 + 7 + 20 + 3 + 0 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3072497830 + ... + 3072500570.

It is an arithmetic number, because the mean of its divisors is an integer number (42391559925).

Almost surely, 2^{8421720307200} is an apocalyptic number.

8421720307200 is a gapful number since it is divisible by the number (80) 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 8421720307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15260961573000).

8421720307200 is an abundant number, since it is smaller than the sum of its proper divisors (22100202838800).

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

8421720307200 is a wasteful number, since it uses less digits than its factorization.

8421720307200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3079 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 8421720307200 its reverse (27030271248), we get a palindrome (8448750578448).

The spelling of 8421720307200 in words is "eight trillion, four hundred twenty-one billion, seven hundred twenty million, three hundred seven thousand, two hundred".