1648717680 has 80 divisors (see below), whose sum is σ = 5140697760. Its totient is φ = 437105664.

The previous prime is 1648717639. The next prime is 1648717703. The reversal of 1648717680 is 867178461.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 21666 + ... + 61374.

It is an arithmetic number, because the mean of its divisors is an integer number (64258722).

Almost surely, 2^1648717680 is an apocalyptic number.

1648717680 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 1648717680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570348880).

1648717680 is an abundant number, since it is smaller than the sum of its proper divisors (3491980080).

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

1648717680 is a wasteful number, since it uses less digits than its factorization.

1648717680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39898 (or 39892 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The square root of 1648717680 is about 40604.4046871765. The cubic root of 1648717680 is about 1181.3595552487.

The spelling of 1648717680 in words is "one billion, six hundred forty-eight million, seven hundred seventeen thousand, six hundred eighty".