82337476659552 has 384 divisors, whose sum is σ = 249436751961600. Its totient is φ = 26392469096448.

The previous prime is 82337476659551. The next prime is 82337476659553. The reversal of 82337476659552 is 25595667473328.

82337476659552 is a `hidden beast` number, since 8 + 2 + 3 + 3 + 7 + 4 + 7 + 6 + 65 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (82337476659551) and next prime (82337476659553).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82337476659551) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6515580978 + ... + 6515593614.

It is an arithmetic number, because the mean of its divisors is an integer number (649574874900).

Almost surely, 2^{82337476659552} 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 82337476659552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124718375980800).

82337476659552 is an abundant number, since it is smaller than the sum of its proper divisors (167099275302048).

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

82337476659552 is a wasteful number, since it uses less digits than its factorization.

82337476659552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13715 (or 13701 counting only the distinct ones).

The product of its digits is 2286144000, while the sum is 72.

The spelling of 82337476659552 in words is "eighty-two trillion, three hundred thirty-seven billion, four hundred seventy-six million, six hundred fifty-nine thousand, five hundred fifty-two".