71766077703936 has 1152 divisors, whose sum is σ = 253316204789760. Its totient is φ = 17499060633600.

The previous prime is 71766077703907. The next prime is 71766077703959. The reversal of 71766077703936 is 63930777066717.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7301457870 + ... + 7301467698.

It is an arithmetic number, because the mean of its divisors is an integer number (219892538880).

Almost surely, 2^{71766077703936} 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 71766077703936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126658102394880).

71766077703936 is an abundant number, since it is smaller than the sum of its proper divisors (181550127085824).

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

71766077703936 is a wasteful number, since it uses less digits than its factorization.

71766077703936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10021 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 294055272, while the sum is 69.

The spelling of 71766077703936 in words is "seventy-one trillion, seven hundred sixty-six billion, seventy-seven million, seven hundred three thousand, nine hundred thirty-six".