1640812800 has 432 divisors, whose sum is σ = 6268473792. Its totient is φ = 373555200.

The previous prime is 1640812739. The next prime is 1640812819. The reversal of 1640812800 is 82180461.

1640812800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590172 + ... + 3590628.

It is an arithmetic number, because the mean of its divisors is an integer number (14510356).

Almost surely, 2^1640812800 is an apocalyptic number.

1640812800 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 1640812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134236896).

1640812800 is an abundant number, since it is smaller than the sum of its proper divisors (4627660992).

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

1640812800 is a wasteful number, since it uses less digits than its factorization.

1640812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 1640812800 is about 40506.9475522410. The cubic root of 1640812800 is about 1179.4684956697.

The spelling of 1640812800 in words is "one billion, six hundred forty million, eight hundred twelve thousand, eight hundred".