82370665440 has 1152 divisors, whose sum is σ = 353000374272. Its totient is φ = 17079828480.

The previous prime is 82370665411. The next prime is 82370665451. The reversal of 82370665440 is 4456607328.

82370665440 is a `hidden beast` number, since 82 + 3 + 70 + 6 + 65 + 440 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 524653842 + ... + 524653998.

It is an arithmetic number, because the mean of its divisors is an integer number (306423936).

Almost surely, 2^82370665440 is an apocalyptic number.

82370665440 is a gapful number since it is divisible by the number (80) 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 82370665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176500187136).

82370665440 is an abundant number, since it is smaller than the sum of its proper divisors (270629708832).

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

82370665440 is a wasteful number, since it uses less digits than its factorization.

82370665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 82370665440 in words is "eighty-two billion, three hundred seventy million, six hundred sixty-five thousand, four hundred forty".