68100761210400 has 1440 divisors, whose sum is σ = 258250710896640. Its totient is φ = 17452240404480.

The previous prime is 68100761210371. The next prime is 68100761210401. The reversal of 68100761210400 is 401216700186.

It is a happy number.

68100761210400 is a `hidden beast` number, since 68 + 1 + 0 + 0 + 76 + 121 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (68100761210401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 53245316961 + ... + 53245318239.

It is an arithmetic number, because the mean of its divisors is an integer number (179340771456).

Almost surely, 2^{68100761210400} is an apocalyptic number.

68100761210400 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 68100761210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129125355448320).

68100761210400 is an abundant number, since it is smaller than the sum of its proper divisors (190149949686240).

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

68100761210400 is a wasteful number, since it uses less digits than its factorization.

68100761210400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 68100761210400 its reverse (401216700186), we get a palindrome (68501977910586).

The spelling of 68100761210400 in words is "sixty-eight trillion, one hundred billion, seven hundred sixty-one million, two hundred ten thousand, four hundred".