71672676516 has 216 divisors, whose sum is σ = 218476440000. Its totient is φ = 19730325888.

The previous prime is 71672676511. The next prime is 71672676563. The reversal of 71672676516 is 61567627617.

71672676516 is a `hidden beast` number, since 7 + 1 + 67 + 2 + 67 + 6 + 516 = 666.

It is not an unprimeable number, because it can be changed into a prime (71672676511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30641275 + ... + 30643613.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465000).

Almost surely, 2^71672676516 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 71672676516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109238220000).

71672676516 is an abundant number, since it is smaller than the sum of its proper divisors (146803763484).

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

71672676516 is a wasteful number, since it uses less digits than its factorization.

71672676516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2991 (or 2979 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 54.

The spelling of 71672676516 in words is "seventy-one billion, six hundred seventy-two million, six hundred seventy-six thousand, five hundred sixteen".