8345637980160 has 384 divisors, whose sum is σ = 28765963175040. Its totient is φ = 2053408555008.

The previous prime is 8345637980107. The next prime is 8345637980167. The reversal of 8345637980160 is 610897365438.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 8345637980094 and 8345637980103.

It is not an unprimeable number, because it can be changed into a prime (8345637980167) 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, 1668124219 + ... + 1668129221.

It is an arithmetic number, because the mean of its divisors is an integer number (74911362435).

Almost surely, 2^{8345637980160} is an apocalyptic number.

8345637980160 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 8345637980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14382981587520).

8345637980160 is an abundant number, since it is smaller than the sum of its proper divisors (20420325194880).

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

8345637980160 is a wasteful number, since it uses less digits than its factorization.

8345637980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 8345637980160 in words is "eight trillion, three hundred forty-five billion, six hundred thirty-seven million, nine hundred eighty thousand, one hundred sixty".