71755661440 has 64 divisors (see below), whose sum is σ = 180569376000. Its totient is φ = 27191614464.

The previous prime is 71755661431. The next prime is 71755661477. The reversal of 71755661440 is 4416655717.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2938320 + ... + 2962639.

It is an arithmetic number, because the mean of its divisors is an integer number (2821396500).

Almost surely, 2^71755661440 is an apocalyptic number.

It is an amenable number.

71755661440 is an abundant number, since it is smaller than the sum of its proper divisors (108813714560).

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

71755661440 is a wasteful number, since it uses less digits than its factorization.

71755661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900997 (or 5900985 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 71755661440 in words is "seventy-one billion, seven hundred fifty-five million, six hundred sixty-one thousand, four hundred forty".