68821803767808 has 576 divisors, whose sum is σ = 253700913473280. Its totient is φ = 18150793445376.

The previous prime is 68821803767803. The next prime is 68821803767839. The reversal of 68821803767808 is 80876730812886.

68821803767808 is a `hidden beast` number, since 6 + 8 + 8 + 2 + 180 + 376 + 78 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68821803767803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44527591 + ... + 46047257.

It is an arithmetic number, because the mean of its divisors is an integer number (440452974780).

Almost surely, 2^{68821803767808} 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 68821803767808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126850456736640).

68821803767808 is an abundant number, since it is smaller than the sum of its proper divisors (184879109705472).

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

68821803767808 is a wasteful number, since it uses less digits than its factorization.

68821803767808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519724 (or 1519692 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 72.

The spelling of 68821803767808 in words is "sixty-eight trillion, eight hundred twenty-one billion, eight hundred three million, seven hundred sixty-seven thousand, eight hundred eight".