68127255424800 has 3456 divisors, whose sum is σ = 305646357381120. Its totient is φ = 14529715200000.

The previous prime is 68127255424799. The next prime is 68127255424819. The reversal of 68127255424800 is 842455272186.

68127255424800 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 7 + 2 + 554 + 2 + 4 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 74782936345 + ... + 74782937255.

It is an arithmetic number, because the mean of its divisors is an integer number (88439339520).

Almost surely, 2^{68127255424800} is an apocalyptic number.

68127255424800 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 68127255424800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152823178690560).

68127255424800 is an abundant number, since it is smaller than the sum of its proper divisors (237519101956320).

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

68127255424800 is a wasteful number, since it uses less digits than its factorization.

68127255424800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 68127255424800 in words is "sixty-eight trillion, one hundred twenty-seven billion, two hundred fifty-five million, four hundred twenty-four thousand, eight hundred".