1649224333680 has 1920 divisors, whose sum is σ = 7139063070720. Its totient is φ = 304928686080.

The previous prime is 1649224333639. The next prime is 1649224333693. The reversal of 1649224333680 is 863334229461.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22592114124 + ... + 22592114196.

It is an arithmetic number, because the mean of its divisors is an integer number (3718262016).

Almost surely, 2^{1649224333680} is an apocalyptic number.

1649224333680 is a gapful number since it is divisible by the number (10) 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 1649224333680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3569531535360).

1649224333680 is an abundant number, since it is smaller than the sum of its proper divisors (5489838737040).

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

1649224333680 is a wasteful number, since it uses less digits than its factorization.

1649224333680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 51.

The spelling of 1649224333680 in words is "one trillion, six hundred forty-nine billion, two hundred twenty-four million, three hundred thirty-three thousand, six hundred eighty".