76505873643381 has 288 divisors, whose sum is σ = 139602574540800. Its totient is φ = 36896032293120.

The previous prime is 76505873643377. The next prime is 76505873643403. The reversal of 76505873643381 is 18334637850567.

It is a happy number.

It is not a de Polignac number, because 76505873643381 - 2² = 76505873643377 is a prime.

It is a super-3 number, since 3×76505873643381³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76505873643581) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8105289660 + ... + 8105299098.

It is an arithmetic number, because the mean of its divisors is an integer number (484731161600).

Almost surely, 2^{76505873643381} is an apocalyptic number.

It is an amenable number.

76505873643381 is a deficient number, since it is larger than the sum of its proper divisors (63096700897419).

76505873643381 is a wasteful number, since it uses less digits than its factorization.

76505873643381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9917 (or 9891 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 66.

The spelling of 76505873643381 in words is "seventy-six trillion, five hundred five billion, eight hundred seventy-three million, six hundred forty-three thousand, three hundred eighty-one".