649416768 has 448 divisors, whose sum is σ = 2403287040. Its totient is φ = 149299200.

The previous prime is 649416767. The next prime is 649416773. The reversal of 649416768 is 867614946.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 649416768.

It is not an unprimeable number, because it can be changed into a prime (649416767) 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 63 ways as a sum of consecutive naturals, for example, 5957898 + ... + 5958006.

It is an arithmetic number, because the mean of its divisors is an integer number (5364480).

Almost surely, 2^649416768 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 649416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201643520).

649416768 is an abundant number, since it is smaller than the sum of its proper divisors (1753870272).

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

649416768 is a wasteful number, since it uses less digits than its factorization.

649416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 649416768 is about 25483.6568804401. The cubic root of 649416768 is about 865.9799414698.

The spelling of 649416768 in words is "six hundred forty-nine million, four hundred sixteen thousand, seven hundred sixty-eight".