1640348800 has 48 divisors (see below), whose sum is σ = 4052182050. Its totient is φ = 656138240.

The previous prime is 1640348797. The next prime is 1640348839. The reversal of 1640348800 is 88430461.

It can be written as a sum of positive squares in 3 ways, for example, as 1409551936 + 230796864 = 37544^2 + 15192^2 .

It is a super-2 number, since 2×1640348800² = 5381488371322880000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 253105 + ... + 259504.

Almost surely, 2^1640348800 is an apocalyptic number.

1640348800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1640348800 is an abundant number, since it is smaller than the sum of its proper divisors (2411833250).

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

1640348800 is an equidigital number, since it uses as much as digits as its factorization.

1640348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512633 (or 512616 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1640348800 is about 40501.2197347191. The cubic root of 1640348800 is about 1179.3573058623.

The spelling of 1640348800 in words is "one billion, six hundred forty million, three hundred forty-eight thousand, eight hundred".