82744492960 has 36 divisors (see below), whose sum is σ = 195492461094. Its totient is φ = 33096341760.

The previous prime is 82744492951. The next prime is 82744493053. The reversal of 82744492960 is 6929444728.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27427334544 + 55317158416 = 165612^2 + 235196^2 .

It is a super-2 number, since 2×82744492960² (a number of 23 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 3627190 + ... + 3649930.

Almost surely, 2^82744492960 is an apocalyptic number.

82744492960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82744492960 is an abundant number, since it is smaller than the sum of its proper divisors (112747968134).

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

82744492960 is an frugal number, since it uses more digits than its factorization.

82744492960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45497 (or 22748 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 55.

The spelling of 82744492960 in words is "eighty-two billion, seven hundred forty-four million, four hundred ninety-two thousand, nine hundred sixty".