1640882167808 has 448 divisors, whose sum is σ = 3773133342720. Its totient is φ = 708496588800.

The previous prime is 1640882167807. The next prime is 1640882167817. The reversal of 1640882167808 is 8087612880461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640882167801) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20770660313 + ... + 20770660391.

It is an arithmetic number, because the mean of its divisors is an integer number (8422172640).

Almost surely, 2^{1640882167808} 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 1640882167808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886566671360).

1640882167808 is an abundant number, since it is smaller than the sum of its proper divisors (2132251174912).

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

1640882167808 is an equidigital number, since it uses as much as digits as its factorization.

1640882167808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 59.

The spelling of 1640882167808 in words is "one trillion, six hundred forty billion, eight hundred eighty-two million, one hundred sixty-seven thousand, eight hundred eight".