82007466820 has 24 divisors (see below), whose sum is σ = 172261243224. Its totient is φ = 32794308096.

The previous prime is 82007466811. The next prime is 82007466869. The reversal of 82007466820 is 2866470028.

It can be written as a sum of positive squares in 4 ways, for example, as 14666178816 + 67341288004 = 121104^2 + 259502^2 .

It is a super-2 number, since 2×82007466820² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464659 + ... + 616378.

It is an arithmetic number, because the mean of its divisors is an integer number (7177551801).

Almost surely, 2^82007466820 is an apocalyptic number.

It is an amenable number.

82007466820 is an abundant number, since it is smaller than the sum of its proper divisors (90253776404).

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

82007466820 is a wasteful number, since it uses less digits than its factorization.

82007466820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084839 (or 1084837 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 82007466820 in words is "eighty-two billion, seven million, four hundred sixty-six thousand, eight hundred twenty".