82424096490368 has 128 divisors (see below), whose sum is σ = 166338295200000. Its totient is φ = 40678132137984.

The previous prime is 82424096490361. The next prime is 82424096490383. The reversal of 82424096490368 is 86309469042428.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82424096490361) 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, 22222725698 + ... + 22222729406.

It is an arithmetic number, because the mean of its divisors is an integer number (1299517931250).

Almost surely, 2^{82424096490368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82424096490368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83169147600000).

82424096490368 is an abundant number, since it is smaller than the sum of its proper divisors (83914198709632).

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

82424096490368 is a wasteful number, since it uses less digits than its factorization.

82424096490368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6680 (or 6668 counting only the distinct ones).

The product of its (nonzero) digits is 143327232, while the sum is 65.

The spelling of 82424096490368 in words is "eighty-two trillion, four hundred twenty-four billion, ninety-six million, four hundred ninety thousand, three hundred sixty-eight".