68424048000 has 2048 divisors, whose sum is σ = 335450419200. Its totient is φ = 13381632000.

The previous prime is 68424047957. The next prime is 68424048013. The reversal of 68424048000 is 84042486.

68424048000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4024943992 + ... + 4024944008.

It is an arithmetic number, because the mean of its divisors is an integer number (163794150).

Almost surely, 2^68424048000 is an apocalyptic number.

68424048000 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 68424048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167725209600).

68424048000 is an abundant number, since it is smaller than the sum of its proper divisors (267026371200).

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

68424048000 is a wasteful number, since it uses less digits than its factorization.

68424048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 68424048000 in words is "sixty-eight billion, four hundred twenty-four million, forty-eight thousand".