68911989350400 has 3024 divisors, whose sum is σ = 300200041110528. Its totient is φ = 15049359360000.

The previous prime is 68911989350353. The next prime is 68911989350401. The reversal of 68911989350400 is 405398911986.

68911989350400 is a `hidden beast` number, since 6 + 8 + 9 + 1 + 1 + 98 + 93 + 50 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68911989350401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 422772940719 + ... + 422772940881.

Almost surely, 2^{68911989350400} is an apocalyptic number.

68911989350400 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 68911989350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150100020555264).

68911989350400 is an abundant number, since it is smaller than the sum of its proper divisors (231288051760128).

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

68911989350400 is a wasteful number, since it uses less digits than its factorization.

68911989350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 63.

The spelling of 68911989350400 in words is "sixty-eight trillion, nine hundred eleven billion, nine hundred eighty-nine million, three hundred fifty thousand, four hundred".