82482079680 has 2520 divisors, whose sum is σ = 421646384544. Its totient is φ = 14890106880.

The previous prime is 82482079649. The next prime is 82482079699. The reversal of 82482079680 is 8697028428.

82482079680 is a `hidden beast` number, since 82 + 482 + 0 + 7 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4851887032 + ... + 4851887048.

Almost surely, 2^82482079680 is an apocalyptic number.

82482079680 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 82482079680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210823192272).

82482079680 is an abundant number, since it is smaller than the sum of its proper divisors (339164304864).

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

82482079680 is a wasteful number, since it uses less digits than its factorization.

82482079680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 82482079680 in words is "eighty-two billion, four hundred eighty-two million, seventy-nine thousand, six hundred eighty".