82071936324 has 243 divisors, whose sum is σ = 255412138527. Its totient is φ = 22153080096.

The previous prime is 82071936281. The next prime is 82071936367. The reversal of 82071936324 is 42363917028.

The square root of 82071936324 is 286482.

It is a perfect power (a square), and thus also a powerful number.

82071936324 is a `hidden beast` number, since 8 + 2 + 0 + 7 + 1 + 9 + 3 + 632 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (82071936281) and next prime (82071936367).

It is a self number, because there is not a number n which added to its sum of digits gives 82071936324.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 228612457 + ... + 228612815.

Almost surely, 2^82071936324 is an apocalyptic number.

82071936324 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

82071936324 is the 286482-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82071936324

82071936324 is an abundant number, since it is smaller than the sum of its proper divisors (173340202203).

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

82071936324 is a wasteful number, since it uses less digits than its factorization.

82071936324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 82071936324 in words is "eighty-two billion, seventy-one million, nine hundred thirty-six thousand, three hundred twenty-four".