1980364320 has 576 divisors, whose sum is σ = 7887559680. Its totient is φ = 447897600.

The previous prime is 1980364303. The next prime is 1980364333. The reversal of 1980364320 is 234630891.

1980364320 is a `hidden beast` number, since 1 + 9 + 8 + 0 + 3 + 643 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 18168426 + ... + 18168534.

It is an arithmetic number, because the mean of its divisors is an integer number (13693680).

Almost surely, 2^1980364320 is an apocalyptic number.

1980364320 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 1980364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943779840).

1980364320 is an abundant number, since it is smaller than the sum of its proper divisors (5907195360).

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

1980364320 is a wasteful number, since it uses less digits than its factorization.

1980364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1980364320 is about 44501.2844758441. The cubic root of 1980364320 is about 1255.7842476311.

The spelling of 1980364320 in words is "one billion, nine hundred eighty million, three hundred sixty-four thousand, three hundred twenty".