8720441856000 has 4992 divisors, whose sum is σ = 42865251287040. Its totient is φ = 1719926784000.

The previous prime is 8720441855977. The next prime is 8720441856013. The reversal of 8720441856000 is 6581440278.

8720441856000 is a `hidden beast` number, since 8 + 7 + 20 + 4 + 4 + 18 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×8720441856000² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 281304575985 + ... + 281304576015.

It is an arithmetic number, because the mean of its divisors is an integer number (8586789120).

Almost surely, 2^{8720441856000} is an apocalyptic number.

8720441856000 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 8720441856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21432625643520).

8720441856000 is an abundant number, since it is smaller than the sum of its proper divisors (34144809431040).

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

8720441856000 is a wasteful number, since it uses less digits than its factorization.

8720441856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 8720441856000 in words is "eight trillion, seven hundred twenty billion, four hundred forty-one million, eight hundred fifty-six thousand".