68045700518400 has 960 divisors, whose sum is σ = 248155733016576. Its totient is φ = 16298999808000.

The previous prime is 68045700518333. The next prime is 68045700518459. The reversal of 68045700518400 is 481500754086.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 68045700518400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37326219889 + ... + 37326221711.

Almost surely, 2^{68045700518400} is an apocalyptic number.

68045700518400 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 68045700518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124077866508288).

68045700518400 is an abundant number, since it is smaller than the sum of its proper divisors (180110032498176).

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

68045700518400 is a wasteful number, since it uses less digits than its factorization.

68045700518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2873 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 48.

The spelling of 68045700518400 in words is "sixty-eight trillion, forty-five billion, seven hundred million, five hundred eighteen thousand, four hundred".