1980376128 has 168 divisors, whose sum is σ = 6091001280. Its totient is φ = 637217280.

The previous prime is 1980376109. The next prime is 1980376147. The reversal of 1980376128 is 8216730891.

It is an interprime number because it is at equal distance from previous prime (1980376109) and next prime (1980376147).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448813 + ... + 453203.

It is an arithmetic number, because the mean of its divisors is an integer number (36255960).

Almost surely, 2^1980376128 is an apocalyptic number.

1980376128 is a gapful number since it is divisible by the number (18) 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 1980376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3045500640).

1980376128 is an abundant number, since it is smaller than the sum of its proper divisors (4110625152).

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

1980376128 is an equidigital number, since it uses as much as digits as its factorization.

1980376128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4425 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1980376128 is about 44501.4171459741. The cubic root of 1980376128 is about 1255.7867435138.

The spelling of 1980376128 in words is "one billion, nine hundred eighty million, three hundred seventy-six thousand, one hundred twenty-eight".