1983756480 has 112 divisors (see below), whose sum is σ = 6468770400. Its totient is φ = 514695168.

The previous prime is 1983756473. The next prime is 1983756491. The reversal of 1983756480 is 846573891.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7596 + ... + 63444.

Almost surely, 2^1983756480 is an apocalyptic number.

1983756480 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 1983756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3234385200).

1983756480 is an abundant number, since it is smaller than the sum of its proper divisors (4485013920).

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

1983756480 is a wasteful number, since it uses less digits than its factorization.

1983756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55906 (or 55896 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 1983756480 is about 44539.3812260566. The cubic root of 1983756480 is about 1256.5008483008.

The spelling of 1983756480 in words is "one billion, nine hundred eighty-three million, seven hundred fifty-six thousand, four hundred eighty".