71676767235700 has 144 divisors (see below), whose sum is σ = 176128537052160. Its totient is φ = 25079618368000.

The previous prime is 71676767235691. The next prime is 71676767235793. The reversal of 71676767235700 is 753276767617.

It is a happy number.

71676767235700 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×71676767235700² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5512365 + ... + 13181035.

It is an arithmetic number, because the mean of its divisors is an integer number (1223114840640).

Almost surely, 2^{71676767235700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71676767235700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88064268526080).

71676767235700 is an abundant number, since it is smaller than the sum of its proper divisors (104451769816460).

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

71676767235700 is a wasteful number, since it uses less digits than its factorization.

71676767235700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7669018 (or 7669011 counting only the distinct ones).

The product of its (nonzero) digits is 108909360, while the sum is 64.

The spelling of 71676767235700 in words is "seventy-one trillion, six hundred seventy-six billion, seven hundred sixty-seven million, two hundred thirty-five thousand, seven hundred".