68141257624800 has 144 divisors (see below), whose sum is σ = 246444215154480. Its totient is φ = 18171002027520.

The previous prime is 68141257624733. The next prime is 68141257624813. The reversal of 68141257624800 is 842675214186.

68141257624800 is a `hidden beast` number, since 6 + 8 + 1 + 4 + 1 + 2 + 5 + 7 + 624 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1577322327 + ... + 1577365526.

It is an arithmetic number, because the mean of its divisors is an integer number (1711418160795).

Almost surely, 2^{68141257624800} is an apocalyptic number.

68141257624800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68141257624800 is an abundant number, since it is smaller than the sum of its proper divisors (178302957529680).

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

68141257624800 is a wasteful number, since it uses less digits than its factorization.

68141257624800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154687882 (or 3154687863 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 68141257624800 in words is "sixty-eight trillion, one hundred forty-one billion, two hundred fifty-seven million, six hundred twenty-four thousand, eight hundred".