68052049430400 has 1920 divisors, whose sum is σ = 312103143316800. Its totient is φ = 14243860316160.

The previous prime is 68052049430359. The next prime is 68052049430423. The reversal of 68052049430400 is 403494025086.

68052049430400 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 204 + 9 + 4 + 30 + 400 = 666.

68052049430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1141227786 + ... + 1141287414.

Almost surely, 2^{68052049430400} is an apocalyptic number.

68052049430400 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 68052049430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156051571658400).

68052049430400 is an abundant number, since it is smaller than the sum of its proper divisors (244051093886400).

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

68052049430400 is a wasteful number, since it uses less digits than its factorization.

68052049430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59726 (or 59700 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 68052049430400 in words is "sixty-eight trillion, fifty-two billion, forty-nine million, four hundred thirty thousand, four hundred".