2007379609160 has 128 divisors (see below), whose sum is σ = 4827135552480. Its totient is φ = 748639223808.

The previous prime is 2007379609159. The next prime is 2007379609223. The reversal of 2007379609160 is 619069737002.

It can be written as a sum of positive squares in 16 ways, for example, as 52410776356 + 1954968832804 = 228934^2 + 1398202^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2007379609099 and 2007379609108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176188424 + ... + 176199816.

Almost surely, 2^{2007379609160} is an apocalyptic number.

2007379609160 is a gapful number since it is divisible by the number (20) 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 2007379609160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413567776240).

2007379609160 is an abundant number, since it is smaller than the sum of its proper divisors (2819755943320).

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

2007379609160 is a wasteful number, since it uses less digits than its factorization.

2007379609160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13827 (or 13823 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 50.

The spelling of 2007379609160 in words is "two trillion, seven billion, three hundred seventy-nine million, six hundred nine thousand, one hundred sixty".