1649009664 has 231 divisors, whose sum is σ = 5049746347. Its totient is φ = 537974784.

The previous prime is 1649009651. The next prime is 1649009689. The reversal of 1649009664 is 4669009461.

The square root of 1649009664 is 40608.

It is a perfect power (a square), and thus also a powerful number.

1649009664 is a `hidden beast` number, since 16 + 490 + 0 + 96 + 64 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 35085289 + ... + 35085335.

Almost surely, 2^1649009664 is an apocalyptic number.

1649009664 is the 40608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649009664

1649009664 is an abundant number, since it is smaller than the sum of its proper divisors (3400736683).

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

1649009664 is an frugal number, since it uses more digits than its factorization.

1649009664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 1649009664 is about 1181.4292897929.

The spelling of 1649009664 in words is "one billion, six hundred forty-nine million, nine thousand, six hundred sixty-four".