8130655680 has 224 divisors, whose sum is σ = 29556334080. Its totient is φ = 1855057920.

The previous prime is 8130655679. The next prime is 8130655751. The reversal of 8130655680 is 865560318.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×8130655680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7330966 + ... + 7332074.

It is an arithmetic number, because the mean of its divisors is an integer number (131947920).

Almost surely, 2^8130655680 is an apocalyptic number.

8130655680 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 8130655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14778167040).

8130655680 is an abundant number, since it is smaller than the sum of its proper divisors (21425678400).

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

8130655680 is a wasteful number, since it uses less digits than its factorization.

8130655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 8130655680 is about 90170.1484971606. The cubic root of 8130655680 is about 2010.8292313765.

The spelling of 8130655680 in words is "eight billion, one hundred thirty million, six hundred fifty-five thousand, six hundred eighty".