1640353387728 has 480 divisors, whose sum is σ = 4939968821760. Its totient is φ = 468106214400.

The previous prime is 1640353387703. The next prime is 1640353387747. The reversal of 1640353387728 is 8277833530461.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849482923 + ... + 849484853.

It is an arithmetic number, because the mean of its divisors is an integer number (10291601712).

Almost surely, 2^{1640353387728} 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 1640353387728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469984410880).

1640353387728 is an abundant number, since it is smaller than the sum of its proper divisors (3299615434032).

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

1640353387728 is a wasteful number, since it uses less digits than its factorization.

1640353387728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 1640353387728 in words is "one trillion, six hundred forty billion, three hundred fifty-three million, three hundred eighty-seven thousand, seven hundred twenty-eight".