1649680320 has 224 divisors, whose sum is σ = 5559552000. Its totient is φ = 413282304.

The previous prime is 1649680303. The next prime is 1649680367. The reversal of 1649680320 is 230869461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2717457 + ... + 2718063.

Almost surely, 2^1649680320 is an apocalyptic number.

1649680320 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 1649680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779776000).

1649680320 is an abundant number, since it is smaller than the sum of its proper divisors (3909871680).

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

1649680320 is a wasteful number, since it uses less digits than its factorization.

1649680320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 1649680320 is about 40616.2568437812. The cubic root of 1649680320 is about 1181.5894314158.

The spelling of 1649680320 in words is "one billion, six hundred forty-nine million, six hundred eighty thousand, three hundred twenty".