82634790375424 has 351 divisors, whose sum is σ = 195103669132017. Its totient is φ = 34893050314752.

The previous prime is 82634790375421. The next prime is 82634790375461. The reversal of 82634790375424 is 42457309743628.

The square root of 82634790375424 is 9090368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 80965443686400 + 1669346689024 = 8998080^2 + 1292032^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82634790375421) 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 26 ways as a sum of consecutive naturals, for example, 419465940894 + ... + 419465941090.

Almost surely, 2^{82634790375424} is an apocalyptic number.

82634790375424 is the 9090368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82634790375424

82634790375424 is an abundant number, since it is smaller than the sum of its proper divisors (112468878756593).

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

82634790375424 is an frugal number, since it uses more digits than its factorization.

82634790375424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 64.

82634790375424 divided by its sum of digits (64) gives a square (1291168599616 = 1136296²).

The spelling of 82634790375424 in words is "eighty-two trillion, six hundred thirty-four billion, seven hundred ninety million, three hundred seventy-five thousand, four hundred twenty-four".