7830909818160 has 1920 divisors, whose sum is σ = 31383331338240. Its totient is φ = 1599491604480.

The previous prime is 7830909818143. The next prime is 7830909818177. The reversal of 7830909818160 is 618189090387.

It is an interprime number because it is at equal distance from previous prime (7830909818143) and next prime (7830909818177).

It is a super-2 number, since 2×7830909818160² (a number of 27 digits) contains 22 as substring.

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 = 7830909818094 and 7830909818103.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 34497399967 + ... + 34497400193.

It is an arithmetic number, because the mean of its divisors is an integer number (16345485072).

Almost surely, 2^{7830909818160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7830909818160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15691665669120).

7830909818160 is an abundant number, since it is smaller than the sum of its proper divisors (23552421520080).

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

7830909818160 is a wasteful number, since it uses less digits than its factorization.

7830909818160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 60.

The spelling of 7830909818160 in words is "seven trillion, eight hundred thirty billion, nine hundred nine million, eight hundred eighteen thousand, one hundred sixty".