71747740064 has 384 divisors, whose sum is σ = 194978617344. Its totient is φ = 25090560000.

The previous prime is 71747740027. The next prime is 71747740079. The reversal of 71747740064 is 46004774717.

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 63 ways as a sum of consecutive naturals, for example, 216760379 + ... + 216760709.

It is an arithmetic number, because the mean of its divisors is an integer number (507756816).

Almost surely, 2^71747740064 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 71747740064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97489308672).

71747740064 is an abundant number, since it is smaller than the sum of its proper divisors (123230877280).

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

71747740064 is a wasteful number, since it uses less digits than its factorization.

71747740064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 47.

The spelling of 71747740064 in words is "seventy-one billion, seven hundred forty-seven million, seven hundred forty thousand, sixty-four".