82415784416 has 288 divisors, whose sum is σ = 206014233600. Its totient is φ = 32249871360.

The previous prime is 82415784401. The next prime is 82415784427. The reversal of 82415784416 is 61448751428.

It is a super-2 number, since 2×82415784416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99415490 + ... + 99416318.

It is an arithmetic number, because the mean of its divisors is an integer number (715327200).

Almost surely, 2^82415784416 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 82415784416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103007116800).

82415784416 is an abundant number, since it is smaller than the sum of its proper divisors (123598449184).

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

82415784416 is a wasteful number, since it uses less digits than its factorization.

82415784416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 975 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 50.

The spelling of 82415784416 in words is "eighty-two billion, four hundred fifteen million, seven hundred eighty-four thousand, four hundred sixteen".