8180047455360 has 2048 divisors, whose sum is σ = 33462131097600. Its totient is φ = 1672681881600.

The previous prime is 8180047455353. The next prime is 8180047455367. The reversal of 8180047455360 is 635547400818.

It is an interprime number because it is at equal distance from previous prime (8180047455353) and next prime (8180047455367).

It is a super-2 number, since 2×8180047455360² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (8180047455367) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9939303909 + ... + 9939304731.

It is an arithmetic number, because the mean of its divisors is an integer number (16338931200).

Almost surely, 2^{8180047455360} is an apocalyptic number.

8180047455360 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 8180047455360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16731065548800).

8180047455360 is an abundant number, since it is smaller than the sum of its proper divisors (25282083642240).

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

8180047455360 is a wasteful number, since it uses less digits than its factorization.

8180047455360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 8180047455360 in words is "eight trillion, one hundred eighty billion, forty-seven million, four hundred fifty-five thousand, three hundred sixty".