82440670464 has 216 divisors, whose sum is σ = 250581400160. Its totient is φ = 25994981376.

The previous prime is 82440670463. The next prime is 82440670531. The reversal of 82440670464 is 46407604428.

82440670464 is a `hidden beast` number, since 82 + 4 + 40 + 6 + 70 + 464 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82440670463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47846307 + ... + 47848029.

Almost surely, 2^82440670464 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 82440670464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125290700080).

82440670464 is an abundant number, since it is smaller than the sum of its proper divisors (168140729696).

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

82440670464 is a wasteful number, since it uses less digits than its factorization.

82440670464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 82440670464 in words is "eighty-two billion, four hundred forty million, six hundred seventy thousand, four hundred sixty-four".