82373322240 has 240 divisors, whose sum is σ = 311217665616. Its totient is φ = 19969228800.

The previous prime is 82373322217. The next prime is 82373322263. The reversal of 82373322240 is 4222337328.

82373322240 is a `hidden beast` number, since 8 + 23 + 73 + 322 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (82373322217) and next prime (82373322263).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 82373322195 and 82373322204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90930 + ... + 415950.

Almost surely, 2^82373322240 is an apocalyptic number.

82373322240 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 82373322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155608832808).

82373322240 is an abundant number, since it is smaller than the sum of its proper divisors (228844343376).

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

82373322240 is a wasteful number, since it uses less digits than its factorization.

82373322240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325061 (or 325042 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 82373322240 its reverse (4222337328), we get a palindrome (86595659568).

The spelling of 82373322240 in words is "eighty-two billion, three hundred seventy-three million, three hundred twenty-two thousand, two hundred forty".