649022121280 has 224 divisors, whose sum is σ = 1763464693536. Its totient is φ = 225389838336.

The previous prime is 649022121269. The next prime is 649022121299. The reversal of 649022121280 is 82121220946.

It can be written as a sum of positive squares in 16 ways, for example, as 168861821184 + 480160300096 = 410928^2 + 692936^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170928342 + ... + 170932138.

It is an arithmetic number, because the mean of its divisors is an integer number (7872610239).

Almost surely, 2^649022121280 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 649022121280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881732346768).

649022121280 is an abundant number, since it is smaller than the sum of its proper divisors (1114442572256).

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

649022121280 is a wasteful number, since it uses less digits than its factorization.

649022121280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 649022121280 in words is "six hundred forty-nine billion, twenty-two million, one hundred twenty-one thousand, two hundred eighty".