71760478401 has 48 divisors (see below), whose sum is σ = 105293260800. Its totient is φ = 47091776640.

The previous prime is 71760478397. The next prime is 71760478409. The reversal of 71760478401 is 10487406717.

71760478401 is a `hidden beast` number, since 7 + 176 + 0 + 4 + 78 + 401 = 666.

It is not a de Polignac number, because 71760478401 - 2² = 71760478397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71760478409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128833615 + ... + 128834171.

It is an arithmetic number, because the mean of its divisors is an integer number (2193609600).

Almost surely, 2^71760478401 is an apocalyptic number.

It is an amenable number.

71760478401 is a deficient number, since it is larger than the sum of its proper divisors (33532782399).

71760478401 is a wasteful number, since it uses less digits than its factorization.

71760478401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 1403 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The spelling of 71760478401 in words is "seventy-one billion, seven hundred sixty million, four hundred seventy-eight thousand, four hundred one".