68100377457600 has 1008 divisors, whose sum is σ = 254964121251840. Its totient is φ = 17218206720000.

The previous prime is 68100377457577. The next prime is 68100377457641. The reversal of 68100377457600 is 675477300186.

68100377457600 is a `hidden beast` number, since 68 + 1 + 0 + 0 + 3 + 7 + 7 + 4 + 576 + 0 + 0 = 666.

It is a super-2 number, since 2×68100377457600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4619786230 + ... + 4619800970.

It is an arithmetic number, because the mean of its divisors is an integer number (252940596480).

Almost surely, 2^{68100377457600} is an apocalyptic number.

68100377457600 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 68100377457600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127482060625920).

68100377457600 is an abundant number, since it is smaller than the sum of its proper divisors (186863743794240).

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

68100377457600 is a wasteful number, since it uses less digits than its factorization.

68100377457600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15010 (or 14992 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 68100377457600 in words is "sixty-eight trillion, one hundred billion, three hundred seventy-seven million, four hundred fifty-seven thousand, six hundred".