75814057804680 has 1280 divisors, whose sum is σ = 280772775360000. Its totient is φ = 18236483223552.

The previous prime is 75814057804651. The next prime is 75814057804753. The reversal of 75814057804680 is 8640875041857.

It is a happy number.

75814057804680 is a `hidden beast` number, since 7 + 5 + 8 + 1 + 40 + 57 + 80 + 468 + 0 = 666.

It is a super-2 number, since 2×75814057804680² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 217232257146 + ... + 217232257494.

It is an arithmetic number, because the mean of its divisors is an integer number (219353730750).

Almost surely, 2^{75814057804680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75814057804680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140386387680000).

75814057804680 is an abundant number, since it is smaller than the sum of its proper divisors (204958717555320).

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

75814057804680 is a wasteful number, since it uses less digits than its factorization.

75814057804680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 75814057804680 in words is "seventy-five trillion, eight hundred fourteen billion, fifty-seven million, eight hundred four thousand, six hundred eighty".