82410000477 has 64 divisors (see below), whose sum is σ = 135784366080. Its totient is φ = 43438659264.

The previous prime is 82410000467. The next prime is 82410000509. The reversal of 82410000477 is 77400001428.

It is not a de Polignac number, because 82410000477 - 2⁷ = 82410000349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82410000467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1615638 + ... + 1665864.

It is an arithmetic number, because the mean of its divisors is an integer number (2121630720).

Almost surely, 2^82410000477 is an apocalyptic number.

82410000477 is the 234393-rd pentagonal number.

It is an amenable number.

82410000477 is a deficient number, since it is larger than the sum of its proper divisors (53374365603).

82410000477 is a wasteful number, since it uses less digits than its factorization.

82410000477 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50382.

The product of its (nonzero) digits is 12544, while the sum is 33.

The spelling of 82410000477 in words is "eighty-two billion, four hundred ten million, four hundred seventy-seven", and thus it is an aban number.