649544120884800 has 2016 divisors, whose sum is σ = 2552489005248000. Its totient is φ = 162230302310400.

The previous prime is 649544120884781. The next prime is 649544120884807. The reversal of 649544120884800 is 8488021445946.

649544120884800 is a `hidden beast` number, since 6 + 4 + 9 + 54 + 4 + 1 + 20 + 88 + 480 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (649544120884807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41243507326 + ... + 41243523074.

It is an arithmetic number, because the mean of its divisors is an integer number (1266115578000).

Almost surely, 2^{649544120884800} is an apocalyptic number.

649544120884800 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 649544120884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1276244502624000).

649544120884800 is an abundant number, since it is smaller than the sum of its proper divisors (1902944884363200).

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

649544120884800 is a wasteful number, since it uses less digits than its factorization.

649544120884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15931 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 649544120884800 in words is "six hundred forty-nine trillion, five hundred forty-four billion, one hundred twenty million, eight hundred eighty-four thousand, eight hundred".