82724178493440 has 2160 divisors, whose sum is σ = 333510961989744. Its totient is φ = 19675962408960.

The previous prime is 82724178493417. The next prime is 82724178493459. The reversal of 82724178493440 is 4439487142728.

82724178493440 is a `hidden beast` number, since 8 + 2 + 7 + 24 + 1 + 7 + 84 + 93 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1560833556454 + ... + 1560833556506.

Almost surely, 2^{82724178493440} is an apocalyptic number.

82724178493440 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 82724178493440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166755480994872).

82724178493440 is an abundant number, since it is smaller than the sum of its proper divisors (250786783496304).

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

82724178493440 is an frugal number, since it uses more digits than its factorization.

82724178493440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 82724178493440 in words is "eighty-two trillion, seven hundred twenty-four billion, one hundred seventy-eight million, four hundred ninety-three thousand, four hundred forty".