82625163264 has 728 divisors, whose sum is σ = 292218184320. Its totient is φ = 22860693504.

The previous prime is 82625163251. The next prime is 82625163293. The reversal of 82625163264 is 46236152628.

82625163264 is a `hidden beast` number, since 8 + 2 + 6 + 2 + 5 + 1 + 632 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1233211359 + ... + 1233211425.

Almost surely, 2^82625163264 is an apocalyptic number.

82625163264 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82625163264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146109092160).

82625163264 is an abundant number, since it is smaller than the sum of its proper divisors (209593021056).

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

82625163264 is an frugal number, since it uses more digits than its factorization.

82625163264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 138 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 82625163264 in words is "eighty-two billion, six hundred twenty-five million, one hundred sixty-three thousand, two hundred sixty-four".