68821616000 has 128 divisors (see below), whose sum is σ = 175282773120. Its totient is φ = 26856960000.

The previous prime is 68821615991. The next prime is 68821616009. The reversal of 68821616000 is 61612886.

It is an interprime number because it is at equal distance from previous prime (68821615991) and next prime (68821616009).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68821616009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 603545 + ... + 708455.

It is an arithmetic number, because the mean of its divisors is an integer number (1369396665).

Almost surely, 2^68821616000 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 68821616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87641386560).

68821616000 is an abundant number, since it is smaller than the sum of its proper divisors (106461157120).

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

68821616000 is a wasteful number, since it uses less digits than its factorization.

68821616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104981 (or 104959 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 68821616000 in words is "sixty-eight billion, eight hundred twenty-one million, six hundred sixteen thousand".