1648719360 has 200 divisors, whose sum is σ = 5905934496. Its totient is φ = 439603200.

The previous prime is 1648719349. The next prime is 1648719367. The reversal of 1648719360 is 639178461.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1648719367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 203385 + ... + 211335.

Almost surely, 2^1648719360 is an apocalyptic number.

1648719360 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 1648719360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952967248).

1648719360 is an abundant number, since it is smaller than the sum of its proper divisors (4257215136).

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

1648719360 is an frugal number, since it uses more digits than its factorization.

1648719360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7986 (or 7961 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1648719360 is about 40604.4253745820. The cubic root of 1648719360 is about 1181.3599565066.

The spelling of 1648719360 in words is "one billion, six hundred forty-eight million, seven hundred nineteen thousand, three hundred sixty".