8730222658560 has 2376 divisors, whose sum is σ = 35833096975104. Its totient is φ = 1961247375360.

The previous prime is 8730222658481. The next prime is 8730222658567. The reversal of 8730222658560 is 658562220378.

It is a happy number.

8730222658560 is a `hidden beast` number, since 8 + 7 + 3 + 0 + 2 + 2 + 26 + 58 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8730222658497 and 8730222658506.

It is not an unprimeable number, because it can be changed into a prime (8730222658567) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 203028433899 + ... + 203028433941.

Almost surely, 2^{8730222658560} is an apocalyptic number.

8730222658560 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 8730222658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17916548487552).

8730222658560 is an abundant number, since it is smaller than the sum of its proper divisors (27102874316544).

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

8730222658560 is a wasteful number, since it uses less digits than its factorization.

8730222658560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 8730222658560 in words is "eight trillion, seven hundred thirty billion, two hundred twenty-two million, six hundred fifty-eight thousand, five hundred sixty".