1648719072 has 864 divisors, whose sum is σ = 6901614720. Its totient is φ = 365783040.

The previous prime is 1648719047. The next prime is 1648719103. The reversal of 1648719072 is 2709178461.

It is a happy number.

1648719072 is a `hidden beast` number, since 16 + 487 + 1 + 90 + 72 = 666.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 38342283 + ... + 38342325.

It is an arithmetic number, because the mean of its divisors is an integer number (7987980).

Almost surely, 2^1648719072 is an apocalyptic number.

1648719072 is a gapful number since it is divisible by the number (12) 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 1648719072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3450807360).

1648719072 is an abundant number, since it is smaller than the sum of its proper divisors (5252895648).

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

1648719072 is a wasteful number, since it uses less digits than its factorization.

1648719072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1648719072 is about 40604.4218281704. The cubic root of 1648719072 is about 1181.3598877196.

The spelling of 1648719072 in words is "one billion, six hundred forty-eight million, seven hundred nineteen thousand, seventy-two".