82339672746240 has 2304 divisors, whose sum is σ = 366384429465600. Its totient is φ = 17048774246400.

The previous prime is 82339672746239. The next prime is 82339672746251. The reversal of 82339672746240 is 4264727693328.

82339672746240 is a `hidden beast` number, since 8 + 2 + 33 + 96 + 7 + 274 + 6 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-3 number, since 3×82339672746240³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 44969782125 + ... + 44969783955.

Almost surely, 2^{82339672746240} is an apocalyptic number.

82339672746240 is a gapful number since it is divisible by the number (80) 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 82339672746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183192214732800).

82339672746240 is an abundant number, since it is smaller than the sum of its proper divisors (284044756719360).

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

82339672746240 is a wasteful number, since it uses less digits than its factorization.

82339672746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 63.

The spelling of 82339672746240 in words is "eighty-two trillion, three hundred thirty-nine billion, six hundred seventy-two million, seven hundred forty-six thousand, two hundred forty".