75871668712320 has 384 divisors, whose sum is σ = 290972350159200. Its totient is φ = 18676102348800.

The previous prime is 75871668712313. The next prime is 75871668712327. The reversal of 75871668712320 is 2321786617857.

It is a happy number.

75871668712320 is a `hidden beast` number, since 7 + 5 + 87 + 166 + 8 + 71 + 2 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (75871668712313) and next prime (75871668712327).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×75871668712320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75871668712327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10069981 + ... + 15910620.

Almost surely, 2^{75871668712320} is an apocalyptic number.

It is an amenable number.

75871668712320 is an abundant number, since it is smaller than the sum of its proper divisors (215100681446880).

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

75871668712320 is a wasteful number, since it uses less digits than its factorization.

75871668712320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25980655 (or 25980624 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 75871668712320 in words is "seventy-five trillion, eight hundred seventy-one billion, six hundred sixty-eight million, seven hundred twelve thousand, three hundred twenty".