649632000 has 288 divisors, whose sum is σ = 2211640704. Its totient is φ = 168960000.

The previous prime is 649631993. The next prime is 649632023. The reversal of 649632000 is 236946.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6431950 + ... + 6432050.

It is an arithmetic number, because the mean of its divisors is an integer number (7679308).

Almost surely, 2^649632000 is an apocalyptic number.

649632000 is a gapful number since it is divisible by the number (60) 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 649632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105820352).

649632000 is an abundant number, since it is smaller than the sum of its proper divisors (1562008704).

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

649632000 is a wasteful number, since it uses less digits than its factorization.

649632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 649632000 is about 25487.8794724081. The cubic root of 649632000 is about 866.0755996135.

Adding to 649632000 its reverse (236946), we get a palindrome (649868946).

The spelling of 649632000 in words is "six hundred forty-nine million, six hundred thirty-two thousand".