82440495360 has 576 divisors, whose sum is σ = 309876940800. Its totient is φ = 20696850432.

The previous prime is 82440495353. The next prime is 82440495407. The reversal of 82440495360 is 6359404428.

82440495360 is a `hidden beast` number, since 8 + 244 + 0 + 49 + 5 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146430439 + ... + 146431001.

It is an arithmetic number, because the mean of its divisors is an integer number (537980800).

Almost surely, 2^82440495360 is an apocalyptic number.

82440495360 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 82440495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154938470400).

82440495360 is an abundant number, since it is smaller than the sum of its proper divisors (227436445440).

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

82440495360 is a wasteful number, since it uses less digits than its factorization.

82440495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Adding to 82440495360 its reverse (6359404428), we get a palindrome (88799899788).

The spelling of 82440495360 in words is "eighty-two billion, four hundred forty million, four hundred ninety-five thousand, three hundred sixty".