68419728000 has 1280 divisors, whose sum is σ = 284644039680. Its totient is φ = 16174080000.

The previous prime is 68419727993. The next prime is 68419728019. The reversal of 68419728000 is 82791486.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 522287935 + ... + 522288065.

It is an arithmetic number, because the mean of its divisors is an integer number (222378156).

Almost surely, 2^68419728000 is an apocalyptic number.

68419728000 is a gapful number since it is divisible by the number (60) 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 68419728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142322019840).

68419728000 is an abundant number, since it is smaller than the sum of its proper divisors (216224311680).

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

68419728000 is a wasteful number, since it uses less digits than its factorization.

68419728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 68419728000 in words is "sixty-eight billion, four hundred nineteen million, seven hundred twenty-eight thousand".