82399953664 has 72 divisors (see below), whose sum is σ = 190087339680. Its totient is φ = 34917408768.

The previous prime is 82399953661. The next prime is 82399953667. The reversal of 82399953664 is 46635999328.

It is an interprime number because it is at equal distance from previous prime (82399953661) and next prime (82399953667).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 82399953596 and 82399953605.

It is not an unprimeable number, because it can be changed into a prime (82399953661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98839 + ... + 417814.

It is an arithmetic number, because the mean of its divisors is an integer number (2640101940).

Almost surely, 2^82399953664 is an apocalyptic number.

It is an amenable number.

82399953664 is an abundant number, since it is smaller than the sum of its proper divisors (107687386016).

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

82399953664 is an equidigital number, since it uses as much as digits as its factorization.

82399953664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516765 (or 516751 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 64.

The spelling of 82399953664 in words is "eighty-two billion, three hundred ninety-nine million, nine hundred fifty-three thousand, six hundred sixty-four".