8730205712640 has 432 divisors, whose sum is σ = 31765596460416. Its totient is φ = 2295259545600.

The previous prime is 8730205712603. The next prime is 8730205712663. The reversal of 8730205712640 is 462175020378.

8730205712640 is a `hidden beast` number, since 8 + 7 + 30 + 2 + 0 + 571 + 2 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21886180 + ... + 22281500.

It is an arithmetic number, because the mean of its divisors is an integer number (73531473288).

Almost surely, 2^{8730205712640} is an apocalyptic number.

8730205712640 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 8730205712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15882798230208).

8730205712640 is an abundant number, since it is smaller than the sum of its proper divisors (23035390747776).

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

8730205712640 is an equidigital number, since it uses as much as digits as its factorization.

8730205712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395428 (or 395402 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 8730205712640 in words is "eight trillion, seven hundred thirty billion, two hundred five million, seven hundred twelve thousand, six hundred forty".