82378655964 has 240 divisors, whose sum is σ = 251562659040. Its totient is φ = 23229296640.

The previous prime is 82378655897. The next prime is 82378655987. The reversal of 82378655964 is 46955687328.

It is a happy number.

82378655964 is a `hidden beast` number, since 8 + 2 + 3 + 78 + 6 + 559 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5384694 + ... + 5399970.

It is an arithmetic number, because the mean of its divisors is an integer number (1048177746).

Almost surely, 2^82378655964 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 82378655964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125781329520).

82378655964 is an abundant number, since it is smaller than the sum of its proper divisors (169184003076).

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

82378655964 is a wasteful number, since it uses less digits than its factorization.

82378655964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15410 (or 15399 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 82378655964 in words is "eighty-two billion, three hundred seventy-eight million, six hundred fifty-five thousand, nine hundred sixty-four".