64724448100 has 243 divisors, whose sum is σ = 162086522283. Its totient is φ = 22420644480.

The previous prime is 64724448083. The next prime is 64724448121. The reversal of 64724448100 is 184442746.

The square root of 64724448100 is 254410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 16682822244 + 48041625856 = 129162^2 + 219184^2 .

It is a super-2 number, since 2×64724448100² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 628392649 + ... + 628392751.

Almost surely, 2^64724448100 is an apocalyptic number.

64724448100 is the 254410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64724448100

64724448100 is an abundant number, since it is smaller than the sum of its proper divisors (97362074183).

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

64724448100 is a wasteful number, since it uses less digits than its factorization.

64724448100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The spelling of 64724448100 in words is "sixty-four billion, seven hundred twenty-four million, four hundred forty-eight thousand, one hundred".