82144364760 has 160 divisors (see below), whose sum is σ = 288100787040. Its totient is φ = 20952746496.

The previous prime is 82144364747. The next prime is 82144364773. The reversal of 82144364760 is 6746344128.

82144364760 is a `hidden beast` number, since 8 + 2 + 144 + 36 + 476 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (82144364747) and next prime (82144364773).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 476637 + ... + 625676.

It is an arithmetic number, because the mean of its divisors is an integer number (1800629919).

Almost surely, 2^82144364760 is an apocalyptic number.

It is an amenable number.

82144364760 is an abundant number, since it is smaller than the sum of its proper divisors (205956422280).

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

82144364760 is a wasteful number, since it uses less digits than its factorization.

82144364760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102359 (or 1102346 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 82144364760 in words is "eighty-two billion, one hundred forty-four million, three hundred sixty-four thousand, seven hundred sixty".