1979641160 has 384 divisors, whose sum is σ = 5983632000. Its totient is φ = 583704576.

The previous prime is 1979641127. The next prime is 1979641187. The reversal of 1979641160 is 611469791.

1979641160 = 294² + 295² + ... + 1813².

It is a happy number.

It is a super-2 number, since 2×1979641160² = 7837958244732291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33553211 + ... + 33553269.

It is an arithmetic number, because the mean of its divisors is an integer number (15582375).

Almost surely, 2^1979641160 is an apocalyptic number.

1979641160 is a gapful number since it is divisible by the number (10) 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 1979641160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2991816000).

1979641160 is an abundant number, since it is smaller than the sum of its proper divisors (4003990840).

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

1979641160 is a wasteful number, since it uses less digits than its factorization.

1979641160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The square root of 1979641160 is about 44493.1585752237. The cubic root of 1979641160 is about 1255.6313728142.

The spelling of 1979641160 in words is "one billion, nine hundred seventy-nine million, six hundred forty-one thousand, one hundred sixty".