82467750924 has 288 divisors, whose sum is σ = 249100959744. Its totient is φ = 22745733120.

The previous prime is 82467750811. The next prime is 82467750931. The reversal of 82467750924 is 42905776428.

82467750924 is a `hidden beast` number, since 8 + 2 + 46 + 77 + 509 + 24 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49588917 + ... + 49590579.

It is an arithmetic number, because the mean of its divisors is an integer number (864933888).

Almost surely, 2^82467750924 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 82467750924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124550479872).

82467750924 is an abundant number, since it is smaller than the sum of its proper divisors (166633208820).

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

82467750924 is a wasteful number, since it uses less digits than its factorization.

82467750924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1997 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 82467750924 in words is "eighty-two billion, four hundred sixty-seven million, seven hundred fifty thousand, nine hundred twenty-four".