82607433216 has 480 divisors, whose sum is σ = 282064768128. Its totient is φ = 21242511360.

The previous prime is 82607433211. The next prime is 82607433221. The reversal of 82607433216 is 61233470628.

It is an interprime number because it is at equal distance from previous prime (82607433211) and next prime (82607433221).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82607433211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93552711 + ... + 93553593.

Almost surely, 2^82607433216 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 82607433216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141032384064).

82607433216 is an abundant number, since it is smaller than the sum of its proper divisors (199457334912).

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

82607433216 is a wasteful number, since it uses less digits than its factorization.

82607433216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1042 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 82607433216 in words is "eighty-two billion, six hundred seven million, four hundred thirty-three thousand, two hundred sixteen".