71132696964 has 336 divisors, whose sum is σ = 237756355200. Its totient is φ = 18119697408.

The previous prime is 71132696959. The next prime is 71132697023. The reversal of 71132696964 is 46969623117.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 71132696964.

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 111 ways as a sum of consecutive naturals, for example, 6587682 + ... + 6598470.

It is an arithmetic number, because the mean of its divisors is an integer number (707608200).

Almost surely, 2^71132696964 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 71132696964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118878177600).

71132696964 is an abundant number, since it is smaller than the sum of its proper divisors (166623658236).

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

71132696964 is a wasteful number, since it uses less digits than its factorization.

71132696964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10854 (or 10837 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 71132696964 in words is "seventy-one billion, one hundred thirty-two million, six hundred ninety-six thousand, nine hundred sixty-four".