71605478464 has 189 divisors, whose sum is σ = 160925076549. Its totient is φ = 31597263360.

The previous prime is 71605478423. The next prime is 71605478471. The reversal of 71605478464 is 46487450617.

The square root of 71605478464 is 267592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10592526400 + 61012952064 = 102920^2 + 247008^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 862716567 + ... + 862716649.

Almost surely, 2^71605478464 is an apocalyptic number.

71605478464 is the 267592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71605478464

71605478464 is an abundant number, since it is smaller than the sum of its proper divisors (89319598085).

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

71605478464 is an equidigital number, since it uses as much as digits as its factorization.

71605478464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 52.

The spelling of 71605478464 in words is "seventy-one billion, six hundred five million, four hundred seventy-eight thousand, four hundred sixty-four".