75958057713664 has 405 divisors, whose sum is σ = 180555180499029. Its totient is φ = 31860684226560.

The previous prime is 75958057713589. The next prime is 75958057713691. The reversal of 75958057713664 is 46631775085957.

The square root of 75958057713664 is 8715392.

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., 44618124902400 + 31339932811264 = 6679680^2 + 5598208^2 .

It is a super-2 number, since 2×75958057713664² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 554438377404 + ... + 554438377540.

Almost surely, 2^{75958057713664} is an apocalyptic number.

75958057713664 is the 8715392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75958057713664

75958057713664 is an abundant number, since it is smaller than the sum of its proper divisors (104597122785365).

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

75958057713664 is an frugal number, since it uses more digits than its factorization.

75958057713664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 73.

The spelling of 75958057713664 in words is "seventy-five trillion, nine hundred fifty-eight billion, fifty-seven million, seven hundred thirteen thousand, six hundred sixty-four".