68576010048000 has 4800 divisors, whose sum is σ = 334635904931328. Its totient is φ = 13590606643200.

The previous prime is 68576010047977. The next prime is 68576010048011. The reversal of 68576010048000 is 84001067586.

It is a happy number.

68576010048000 is a `hidden beast` number, since 6 + 8 + 5 + 7 + 60 + 100 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 479 ways as a sum of consecutive naturals, for example, 136334015749 + ... + 136334016251.

Almost surely, 2^{68576010048000} is an apocalyptic number.

68576010048000 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 68576010048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167317952465664).

68576010048000 is an abundant number, since it is smaller than the sum of its proper divisors (266059894883328).

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

68576010048000 is a wasteful number, since it uses less digits than its factorization.

68576010048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 68576010048000 in words is "sixty-eight trillion, five hundred seventy-six billion, ten million, forty-eight thousand".