82486993680 has 960 divisors, whose sum is σ = 370333440000. Its totient is φ = 16478152704.

The previous prime is 82486993679. The next prime is 82486993709. The reversal of 82486993680 is 8639968428.

82486993680 is a `hidden beast` number, since 8 + 2 + 486 + 9 + 93 + 68 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 48549471 + ... + 48551169.

It is an arithmetic number, because the mean of its divisors is an integer number (385764000).

Almost surely, 2^82486993680 is an apocalyptic number.

82486993680 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 82486993680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185166720000).

82486993680 is an abundant number, since it is smaller than the sum of its proper divisors (287846446320).

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

82486993680 is a wasteful number, since it uses less digits than its factorization.

82486993680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 82486993680 in words is "eighty-two billion, four hundred eighty-six million, nine hundred ninety-three thousand, six hundred eighty".