82404806616 has 192 divisors, whose sum is σ = 248516255520. Its totient is φ = 24455208960.

The previous prime is 82404806611. The next prime is 82404806621. The reversal of 82404806616 is 61660840428.

82404806616 is a `hidden beast` number, since 8 + 24 + 0 + 4 + 8 + 0 + 6 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (82404806611) and next prime (82404806621).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82404806611) 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, 28248390 + ... + 28251306.

Almost surely, 2^82404806616 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 82404806616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124258127760).

82404806616 is an abundant number, since it is smaller than the sum of its proper divisors (166111448904).

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

82404806616 is a wasteful number, since it uses less digits than its factorization.

82404806616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3666 (or 3659 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 82404806616 in words is "eighty-two billion, four hundred four million, eight hundred six thousand, six hundred sixteen".