82373729760 has 1152 divisors, whose sum is σ = 353996697600. Its totient is φ = 17511137280.

The previous prime is 82373729743. The next prime is 82373729791. The reversal of 82373729760 is 6792737328.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82373729697 and 82373729706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1042705401 + ... + 1042705479.

It is an arithmetic number, because the mean of its divisors is an integer number (307288800).

Almost surely, 2^82373729760 is an apocalyptic number.

82373729760 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 82373729760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176998348800).

82373729760 is an abundant number, since it is smaller than the sum of its proper divisors (271622967840).

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

82373729760 is a wasteful number, since it uses less digits than its factorization.

82373729760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 82373729760 in words is "eighty-two billion, three hundred seventy-three million, seven hundred twenty-nine thousand, seven hundred sixty".