75908666903364 has 135 divisors (see below), whose sum is σ = 199777050420717. Its totient is φ = 25133569115616.

The previous prime is 75908666903353. The next prime is 75908666903483. The reversal of 75908666903364 is 46330966680957.

It is a happy number.

The square root of 75908666903364 is 8712558.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 22249994660100 + 53658672243264 = 4716990^2 + 7325208^2 .

It is a super-2 number, since 2×75908666903364² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 75908666903292 and 75908666903301.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 24621687367 + ... + 24621690449.

Almost surely, 2^{75908666903364} is an apocalyptic number.

75908666903364 is the 8712558-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75908666903364

75908666903364 is an abundant number, since it is smaller than the sum of its proper divisors (123868383517353).

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

75908666903364 is an frugal number, since it uses more digits than its factorization.

75908666903364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6496 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 75908666903364 in words is "seventy-five trillion, nine hundred eight billion, six hundred sixty-six million, nine hundred three thousand, three hundred sixty-four".