82404495936 has 336 divisors, whose sum is σ = 284549982080. Its totient is φ = 23156305920.

The previous prime is 82404495919. The next prime is 82404495941. The reversal of 82404495936 is 63959440428.

82404495936 is a `hidden beast` number, since 8 + 2 + 4 + 0 + 4 + 49 + 593 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 6634500 + ... + 6646908.

Almost surely, 2^82404495936 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 82404495936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142274991040).

82404495936 is an abundant number, since it is smaller than the sum of its proper divisors (202145486144).

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

82404495936 is a wasteful number, since it uses less digits than its factorization.

82404495936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12504 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 82404495936 in words is "eighty-two billion, four hundred four million, four hundred ninety-five thousand, nine hundred thirty-six".