82047017629440 has 288 divisors, whose sum is σ = 306476800761600. Its totient is φ = 20727667445760.

The previous prime is 82047017629439. The next prime is 82047017629453. The reversal of 82047017629440 is 4492671074028.

82047017629440 is a `hidden beast` number, since 8 + 2 + 0 + 4 + 7 + 0 + 1 + 7 + 629 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61818246 + ... + 63131525.

It is an arithmetic number, because the mean of its divisors is an integer number (1064155558200).

Almost surely, 2^{82047017629440} is an apocalyptic number.

82047017629440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82047017629440 is an abundant number, since it is smaller than the sum of its proper divisors (224429783132160).

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

82047017629440 is a wasteful number, since it uses less digits than its factorization.

82047017629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124949820 (or 124949800 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 82047017629440 in words is "eighty-two trillion, forty-seven billion, seventeen million, six hundred twenty-nine thousand, four hundred forty".