71740409664 has 224 divisors, whose sum is σ = 238826649600. Its totient is φ = 18462504960.

The previous prime is 71740409659. The next prime is 71740409693. The reversal of 71740409664 is 46690404717.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1589197 + ... + 1633715.

It is an arithmetic number, because the mean of its divisors is an integer number (1066190400).

Almost surely, 2^71740409664 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 71740409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119413324800).

71740409664 is an abundant number, since it is smaller than the sum of its proper divisors (167086239936).

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

71740409664 is a wasteful number, since it uses less digits than its factorization.

71740409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44661 (or 44651 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 71740409664 in words is "seventy-one billion, seven hundred forty million, four hundred nine thousand, six hundred sixty-four".