75668076556800 has 1920 divisors, whose sum is σ = 321452060751360. Its totient is φ = 15259926528000.

The previous prime is 75668076556783. The next prime is 75668076556883. The reversal of 75668076556800 is 865567086657.

75668076556800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 10235093904 + ... + 10235101296.

It is an arithmetic number, because the mean of its divisors is an integer number (167422948308).

Almost surely, 2^{75668076556800} is an apocalyptic number.

75668076556800 is a gapful number since it is divisible by the number (70) 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 75668076556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160726030375680).

75668076556800 is an abundant number, since it is smaller than the sum of its proper divisors (245783984194560).

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

75668076556800 is a wasteful number, since it uses less digits than its factorization.

75668076556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 508032000, while the sum is 69.

The spelling of 75668076556800 in words is "seventy-five trillion, six hundred sixty-eight billion, seventy-six million, five hundred fifty-six thousand, eight hundred".