649845504 has 540 divisors, whose sum is σ = 2499950992. Its totient is φ = 164229120.

The previous prime is 649845503. The next prime is 649845517. The reversal of 649845504 is 405548946.

649845504 is a `hidden beast` number, since 6 + 4 + 98 + 4 + 550 + 4 = 666.

649845504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 649845504.

It is not an unprimeable number, because it can be changed into a prime (649845503) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17563374 + ... + 17563410.

Almost surely, 2^649845504 is an apocalyptic number.

649845504 is a gapful number since it is divisible by the number (64) 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 649845504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249975496).

649845504 is an abundant number, since it is smaller than the sum of its proper divisors (1850105488).

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

649845504 is a wasteful number, since it uses less digits than its factorization.

649845504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 649845504 is about 25492.0674720588. The cubic root of 649845504 is about 866.1704688889.

The spelling of 649845504 in words is "six hundred forty-nine million, eight hundred forty-five thousand, five hundred four".