8607355680 has 1152 divisors, whose sum is σ = 38720747520. Its totient is φ = 1579253760.

The previous prime is 8607355667. The next prime is 8607355703. The reversal of 8607355680 is 865537068.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83566509 + ... + 83566611.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 2^8607355680 is an apocalyptic number.

8607355680 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 8607355680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19360373760).

8607355680 is an abundant number, since it is smaller than the sum of its proper divisors (30113391840).

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

8607355680 is a wasteful number, since it uses less digits than its factorization.

8607355680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 8607355680 is about 92775.8356470045. The cubic root of 8607355680 is about 2049.3835687735.

The spelling of 8607355680 in words is "eight billion, six hundred seven million, three hundred fifty-five thousand, six hundred eighty".