82239721740 has 384 divisors, whose sum is σ = 285804288000. Its totient is φ = 19464883200.

The previous prime is 82239721727. The next prime is 82239721777. The reversal of 82239721740 is 4712793228.

82239721740 is a `hidden beast` number, since 8 + 2 + 2 + 397 + 217 + 40 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 45968766 + ... + 45970554.

It is an arithmetic number, because the mean of its divisors is an integer number (744282000).

Almost surely, 2^82239721740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82239721740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142902144000).

82239721740 is an abundant number, since it is smaller than the sum of its proper divisors (203564566260).

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

82239721740 is a wasteful number, since it uses less digits than its factorization.

82239721740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 82239721740 in words is "eighty-two billion, two hundred thirty-nine million, seven hundred twenty-one thousand, seven hundred forty".