1640816064 has 336 divisors, whose sum is σ = 5262225696. Its totient is φ = 486604800.

The previous prime is 1640815993. The next prime is 1640816071. The reversal of 1640816064 is 4606180461.

1640816064 is a `hidden beast` number, since 1 + 6 + 40 + 8 + 1 + 606 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24489759 + ... + 24489825.

It is an arithmetic number, because the mean of its divisors is an integer number (15661386).

Almost surely, 2^1640816064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640816064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631112848).

1640816064 is an abundant number, since it is smaller than the sum of its proper divisors (3621409632).

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

1640816064 is a wasteful number, since it uses less digits than its factorization.

1640816064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1640816064 is about 40506.9878416058. The cubic root of 1640816064 is about 1179.4692777582.

The spelling of 1640816064 in words is "one billion, six hundred forty million, eight hundred sixteen thousand, sixty-four".