8180329464960 has 256 divisors, whose sum is σ = 27958096857600. Its totient is φ = 2027113021440.

The previous prime is 8180329464953. The next prime is 8180329464961. The reversal of 8180329464960 is 694649230818.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 8180329464894 and 8180329464903.

It is not an unprimeable number, because it can be changed into a prime (8180329464961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 992340 + ... + 4164780.

It is an arithmetic number, because the mean of its divisors is an integer number (109211315850).

Almost surely, 2^{8180329464960} is an apocalyptic number.

8180329464960 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 8180329464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979048428800).

8180329464960 is an abundant number, since it is smaller than the sum of its proper divisors (19777767392640).

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

8180329464960 is a wasteful number, since it uses less digits than its factorization.

8180329464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172559 (or 3172547 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 8180329464960 in words is "eight trillion, one hundred eighty billion, three hundred twenty-nine million, four hundred sixty-four thousand, nine hundred sixty".