82277629632 has 112 divisors (see below), whose sum is σ = 263870236800. Its totient is φ = 24932609280.

The previous prime is 82277629631. The next prime is 82277629667. The reversal of 82277629632 is 23692677228.

82277629632 is a `hidden beast` number, since 8 + 2 + 2 + 7 + 7 + 629 + 6 + 3 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (82277629631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2145282 + ... + 2183297.

Almost surely, 2^82277629632 is an apocalyptic number.

It is an amenable number.

82277629632 is an abundant number, since it is smaller than the sum of its proper divisors (181592607168).

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

82277629632 is a wasteful number, since it uses less digits than its factorization.

82277629632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328611 (or 4328595 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 82277629632 in words is "eighty-two billion, two hundred seventy-seven million, six hundred twenty-nine thousand, six hundred thirty-two".