71503829604 has 81 divisors (see below), whose sum is σ = 185432339001. Its totient is φ = 23231885760.

The previous prime is 71503829597. The next prime is 71503829629. The reversal of 71503829604 is 40692830517.

The square root of 71503829604 is 267402.

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

71503829604 is a `hidden beast` number, since 7 + 1 + 5 + 0 + 38 + 2 + 9 + 604 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3445455204 + 68058374400 = 58698^2 + 260880^2 .

It is a super-2 number, since 2×71503829604² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71503829604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65780349 + ... + 65781435.

It is a 2-persistent number, because it is pandigital, and so is 2⋅71503829604 = 143007659208, but 3⋅71503829604 = 214511488812 is not.

Almost surely, 2^71503829604 is an apocalyptic number.

71503829604 is the 267402-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71503829604

71503829604 is an abundant number, since it is smaller than the sum of its proper divisors (113928509397).

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

71503829604 is a wasteful number, since it uses less digits than its factorization.

71503829604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 71503829604 in words is "seventy-one billion, five hundred three million, eight hundred twenty-nine thousand, six hundred four".