8217054720 has 1120 divisors, whose sum is σ = 36710739648. Its totient is φ = 1719926784.

The previous prime is 8217054719. The next prime is 8217054721. The reversal of 8217054720 is 274507128.

8217054720 is a `hidden beast` number, since 8 + 21 + 70 + 547 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8217054719) and next prime (8217054721).

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8217054721) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 222082542 + ... + 222082578.

Almost surely, 2^8217054720 is an apocalyptic number.

8217054720 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 8217054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18355369824).

8217054720 is an abundant number, since it is smaller than the sum of its proper divisors (28493684928).

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

8217054720 is an equidigital number, since it uses as much as digits as its factorization.

8217054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 8217054720 is about 90647.9714058732. The cubic root of 8217054720 is about 2017.9267294301.

The spelling of 8217054720 in words is "eight billion, two hundred seventeen million, fifty-four thousand, seven hundred twenty".