82640211867648 has 144 divisors (see below), whose sum is σ = 239136499307160. Its totient is φ = 27494063456256.

The previous prime is 82640211867617. The next prime is 82640211867673. The reversal of 82640211867648 is 84676811204628.

It is a happy number.

82640211867648 is a `hidden beast` number, since 8 + 2 + 6 + 402 + 1 + 186 + 7 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×82640211867648³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5353590 + ... + 13926282.

Almost surely, 2^{82640211867648} 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 82640211867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119568249653580).

82640211867648 is an abundant number, since it is smaller than the sum of its proper divisors (156496287439512).

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

82640211867648 is a wasteful number, since it uses less digits than its factorization.

82640211867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573244 (or 8573221 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 82640211867648 in words is "eighty-two trillion, six hundred forty billion, two hundred eleven million, eight hundred sixty-seven thousand, six hundred forty-eight".