82364797504420 has 48 divisors (see below), whose sum is σ = 173239850311920. Its totient is φ = 32893776470016.

The previous prime is 82364797504337. The next prime is 82364797504421. The reversal of 82364797504420 is 2440579746328.

It can be written as a sum of positive squares in 8 ways, for example, as 13353996193344 + 69010801311076 = 3654312^2 + 8307274^2 .

It is a super-2 number, since 2×82364797504420² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (82364797504421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271614004 + ... + 271917076.

It is an arithmetic number, because the mean of its divisors is an integer number (3609163548165).

Almost surely, 2^{82364797504420} is an apocalyptic number.

It is an amenable number.

82364797504420 is an abundant number, since it is smaller than the sum of its proper divisors (90875052807500).

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

82364797504420 is a wasteful number, since it uses less digits than its factorization.

82364797504420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324544 (or 324542 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 82364797504420 in words is "eighty-two trillion, three hundred sixty-four billion, seven hundred ninety-seven million, five hundred four thousand, four hundred twenty".