67820083505856 has 336 divisors, whose sum is σ = 217825052129568. Its totient is φ = 19993584844800.

The previous prime is 67820083505827. The next prime is 67820083505869. The reversal of 67820083505856 is 65850538002876.

67820083505856 is a `hidden beast` number, since 6 + 78 + 2 + 0 + 0 + 8 + 3 + 505 + 8 + 56 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 67820083505793 and 67820083505802.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2771208436 + ... + 2771232908.

Almost surely, 2^{67820083505856} is an apocalyptic number.

67820083505856 is a gapful number since it is divisible by the number (66) 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 67820083505856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108912526064784).

67820083505856 is an abundant number, since it is smaller than the sum of its proper divisors (150004968623712).

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

67820083505856 is a wasteful number, since it uses less digits than its factorization.

67820083505856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36360 (or 36347 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 67820083505856 in words is "sixty-seven trillion, eight hundred twenty billion, eighty-three million, five hundred five thousand, eight hundred fifty-six".