82618195968 has 1008 divisors, whose sum is σ = 317253518400. Its totient is φ = 21459271680.

The previous prime is 82618195937. The next prime is 82618195969. The reversal of 82618195968 is 86959181628.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

82618195968 is a `hidden beast` number, since 8 + 2 + 618 + 1 + 9 + 5 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (82618195969) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7510745083 + ... + 7510745093.

Almost surely, 2^82618195968 is an apocalyptic number.

82618195968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82618195968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158626759200).

82618195968 is an abundant number, since it is smaller than the sum of its proper divisors (234635322432).

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

82618195968 is an frugal number, since it uses more digits than its factorization.

82618195968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 23 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 63.

The spelling of 82618195968 in words is "eighty-two billion, six hundred eighteen million, one hundred ninety-five thousand, nine hundred sixty-eight".