71628082617 has 64 divisors (see below), whose sum is σ = 118099165184. Its totient is φ = 37603802880.

The previous prime is 71628082567. The next prime is 71628082619.

71628082617 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 71628082617 - 2¹² = 71628078521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71628082619) 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, 94620603 + ... + 94621359.

It is an arithmetic number, because the mean of its divisors is an integer number (1845299456).

Almost surely, 2^71628082617 is an apocalyptic number.

It is an amenable number.

71628082617 is a deficient number, since it is larger than the sum of its proper divisors (46471082567).

71628082617 is a wasteful number, since it uses less digits than its factorization.

71628082617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958.

The product of its (nonzero) digits is 451584, while the sum is 48.

It can be divided in two parts, 716280 and 82617, that added together give a palindrome (798897).

The spelling of 71628082617 in words is "seventy-one billion, six hundred twenty-eight million, eighty-two thousand, six hundred seventeen".