1649676800 has 90 divisors (see below), whose sum is σ = 4098619833. Its totient is φ = 658032640.

The previous prime is 1649676799. The next prime is 1649676827. The reversal of 1649676800 is 86769461.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 1616683264 + 32993536 = 40208^2 + 5744^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=28720.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4595021 + ... + 4595379.

Almost surely, 2^1649676800 is an apocalyptic number.

1649676800 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 1649676800

1649676800 is an abundant number, since it is smaller than the sum of its proper divisors (2448943033).

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

1649676800 is an frugal number, since it uses more digits than its factorization.

1649676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 1649676800 is about 40616.2135113553. The cubic root of 1649676800 is about 1181.5885910110.

The spelling of 1649676800 in words is "one billion, six hundred forty-nine million, six hundred seventy-six thousand, eight hundred".