64449976900 has 81 divisors (see below), whose sum is σ = 142843249591. Its totient is φ = 25240770880.

The previous prime is 64449976873. The next prime is 64449976933. The reversal of 64449976900 is 967994446.

The square root of 64449976900 is 253870.

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 485497156 + 63964479744 = 22034^2 + 252912^2 .

It is a super-2 number, since 2×64449976900² (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 (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 134550861 + ... + 134551339.

Almost surely, 2^64449976900 is an apocalyptic number.

64449976900 is the 253870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64449976900

64449976900 is an abundant number, since it is smaller than the sum of its proper divisors (78393272691).

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

64449976900 is an equidigital number, since it uses as much as digits as its factorization.

64449976900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 58.

The spelling of 64449976900 in words is "sixty-four billion, four hundred forty-nine million, nine hundred seventy-six thousand, nine hundred".