1649285664 has 96 divisors (see below), whose sum is σ = 4679990784. Its totient is φ = 505559040.

The previous prime is 1649285663. The next prime is 1649285681. The reversal of 1649285664 is 4665829461.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1649285663) 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 15 ways as a sum of consecutive naturals, for example, 348337 + ... + 353039.

It is an arithmetic number, because the mean of its divisors is an integer number (48749904).

Almost surely, 2^1649285664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2339995392).

1649285664 is an abundant number, since it is smaller than the sum of its proper divisors (3030705120).

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

1649285664 is a wasteful number, since it uses less digits than its factorization.

1649285664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 5002 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 1649285664 is about 40611.3982029676. The cubic root of 1649285664 is about 1181.4951993103.

The spelling of 1649285664 in words is "one billion, six hundred forty-nine million, two hundred eighty-five thousand, six hundred sixty-four".