683922161664 has 1008 divisors, whose sum is σ = 2582012311200. Its totient is φ = 177570054144.

The previous prime is 683922161633. The next prime is 683922161669. The reversal of 683922161664 is 466161229386.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 683922161664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683922161669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23583522802 + ... + 23583522830.

It is an arithmetic number, because the mean of its divisors is an integer number (2561520150).

Almost surely, 2^683922161664 is an apocalyptic number.

683922161664 is a gapful number since it is divisible by the number (64) 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 683922161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291006155600).

683922161664 is an abundant number, since it is smaller than the sum of its proper divisors (1898090149536).

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

683922161664 is an frugal number, since it uses more digits than its factorization.

683922161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 58 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 683922161664 in words is "six hundred eighty-three billion, nine hundred twenty-two million, one hundred sixty-one thousand, six hundred sixty-four".