82467745920 has 1024 divisors, whose sum is σ = 356507136000. Its totient is φ = 17817366528.

The previous prime is 82467745907. The next prime is 82467745937. The reversal of 82467745920 is 2954776428.

82467745920 is a `hidden beast` number, since 8 + 2 + 46 + 7 + 7 + 4 + 592 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186157219 + ... + 186157661.

It is an arithmetic number, because the mean of its divisors is an integer number (348151500).

Almost surely, 2^82467745920 is an apocalyptic number.

82467745920 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 82467745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178253568000).

82467745920 is an abundant number, since it is smaller than the sum of its proper divisors (274039390080).

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

82467745920 is an equidigital number, since it uses as much as digits as its factorization.

82467745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 479 counting only the distinct ones).

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

The spelling of 82467745920 in words is "eighty-two billion, four hundred sixty-seven million, seven hundred forty-five thousand, nine hundred twenty".