71467816728 has 192 divisors, whose sum is σ = 229931032320. Its totient is φ = 18301382400.

The previous prime is 71467816699. The next prime is 71467816759. The reversal of 71467816728 is 82761876417.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 879550 + ... + 957362.

It is an arithmetic number, because the mean of its divisors is an integer number (1197557460).

Almost surely, 2^71467816728 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 71467816728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114965516160).

71467816728 is an abundant number, since it is smaller than the sum of its proper divisors (158463215592).

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

71467816728 is a wasteful number, since it uses less digits than its factorization.

71467816728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77918 (or 77907 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 57.

The spelling of 71467816728 in words is "seventy-one billion, four hundred sixty-seven million, eight hundred sixteen thousand, seven hundred twenty-eight".