649733068800 has 432 divisors, whose sum is σ = 2330862534000. Its totient is φ = 172968837120.

The previous prime is 649733068769. The next prime is 649733068801. The reversal of 649733068800 is 8860337946.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649733068801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 492594541 + ... + 492595859.

It is an arithmetic number, because the mean of its divisors is an integer number (5395515125).

Almost surely, 2^649733068800 is an apocalyptic number.

649733068800 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 649733068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1165431267000).

649733068800 is an abundant number, since it is smaller than the sum of its proper divisors (1681129465200).

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

649733068800 is a wasteful number, since it uses less digits than its factorization.

649733068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2398 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 649733068800 in words is "six hundred forty-nine billion, seven hundred thirty-three million, sixty-eight thousand, eight hundred".