83782471680 has 312 divisors, whose sum is σ = 303052321728. Its totient is φ = 21369520128.

The previous prime is 83782471667. The next prime is 83782471777. The reversal of 83782471680 is 8617428738.

It is a happy number.

83782471680 is a `hidden beast` number, since 8 + 37 + 82 + 471 + 68 + 0 = 666.

It is a super-3 number, since 3×83782471680³ (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4229479 + ... + 4249241.

It is an arithmetic number, because the mean of its divisors is an integer number (971321544).

Almost surely, 2^83782471680 is an apocalyptic number.

83782471680 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 83782471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151526160864).

83782471680 is an abundant number, since it is smaller than the sum of its proper divisors (219269850048).

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

83782471680 is a wasteful number, since it uses less digits than its factorization.

83782471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19821 (or 19796 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 83782471680 in words is "eighty-three billion, seven hundred eighty-two million, four hundred seventy-one thousand, six hundred eighty".