820644466080 has 48 divisors (see below), whose sum is σ = 2585030069664. Its totient is φ = 218838524160.

The previous prime is 820644466067. The next prime is 820644466087. The reversal of 820644466080 is 80664446028.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (820644466087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 854837506 + ... + 854838465.

It is an arithmetic number, because the mean of its divisors is an integer number (53854793118).

Almost surely, 2^820644466080 is an apocalyptic number.

820644466080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

820644466080 is an abundant number, since it is smaller than the sum of its proper divisors (1764385603584).

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

820644466080 is a wasteful number, since it uses less digits than its factorization.

820644466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709675989 (or 1709675981 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 48.

The spelling of 820644466080 in words is "eight hundred twenty billion, six hundred forty-four million, four hundred sixty-six thousand, eighty".