71976306768 has 80 divisors (see below), whose sum is σ = 196856834880. Its totient is φ = 22597926912.

The previous prime is 71976306767. The next prime is 71976306781. The reversal of 71976306768 is 86760367917.

It is a super-2 number, since 2×71976306768² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71976306761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70321 + ... + 385872.

It is an arithmetic number, because the mean of its divisors is an integer number (2460710436).

Almost surely, 2^71976306768 is an apocalyptic number.

It is an amenable number.

71976306768 is an abundant number, since it is smaller than the sum of its proper divisors (124880528112).

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

71976306768 is a wasteful number, since it uses less digits than its factorization.

71976306768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456396 (or 456390 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 60.

The spelling of 71976306768 in words is "seventy-one billion, nine hundred seventy-six million, three hundred six thousand, seven hundred sixty-eight".