75836216324352 has 144 divisors (see below), whose sum is σ = 220632010986240. Its totient is φ = 22933866547200.

The previous prime is 75836216324347. The next prime is 75836216324357. The reversal of 75836216324352 is 25342361263857.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75836216324347) and next prime (75836216324357).

It is a super-4 number, since 4×75836216324352⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is a junction number, because it is equal to n+sod(n) for n = 75836216324292 and 75836216324301.

It is not an unprimeable number, because it can be changed into a prime (75836216324357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4993402 + ... + 13289337.

It is an arithmetic number, because the mean of its divisors is an integer number (1532166742960).

Almost surely, 2^{75836216324352} is an apocalyptic number.

It is an amenable number.

75836216324352 is an abundant number, since it is smaller than the sum of its proper divisors (144795794661888).

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

75836216324352 is a wasteful number, since it uses less digits than its factorization.

75836216324352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18283260 (or 18283246 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 57.

The spelling of 75836216324352 in words is "seventy-five trillion, eight hundred thirty-six billion, two hundred sixteen million, three hundred twenty-four thousand, three hundred fifty-two".