649633824 has 192 divisors, whose sum is σ = 2179457280. Its totient is φ = 184412160.

The previous prime is 649633823. The next prime is 649633849. The reversal of 649633824 is 428336946.

649633824 is a `hidden beast` number, since 6 + 4 + 9 + 633 + 8 + 2 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 649633824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649633823) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1408954 + ... + 1409414.

It is an arithmetic number, because the mean of its divisors is an integer number (11351340).

Almost surely, 2^649633824 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 649633824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089728640).

649633824 is an abundant number, since it is smaller than the sum of its proper divisors (1529823456).

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

649633824 is a wasteful number, since it uses less digits than its factorization.

649633824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 706 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 649633824 is about 25487.9152540964. The cubic root of 649633824 is about 866.0764101854.

The spelling of 649633824 in words is "six hundred forty-nine million, six hundred thirty-three thousand, eight hundred twenty-four".