1988743680 has 960 divisors, whose sum is σ = 9192268800. Its totient is φ = 384860160.

The previous prime is 1988743633. The next prime is 1988743681. The reversal of 1988743680 is 863478891.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1988743681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33707491 + ... + 33707549.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 2^1988743680 is an apocalyptic number.

1988743680 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 1988743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596134400).

1988743680 is an abundant number, since it is smaller than the sum of its proper divisors (7203525120).

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

1988743680 is a wasteful number, since it uses less digits than its factorization.

1988743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1988743680 is about 44595.3324911924. The cubic root of 1988743680 is about 1257.5529225040.

The spelling of 1988743680 in words is "one billion, nine hundred eighty-eight million, seven hundred forty-three thousand, six hundred eighty".