64333249600 has 189 divisors, whose sum is σ = 168611556477. Its totient is φ = 24154644480.

The previous prime is 64333249579. The next prime is 64333249601. The reversal of 64333249600 is 694233346.

The square root of 64333249600 is 253640.

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

It can be written as a sum of positive squares in 13 ways, for example, as 19808873536 + 44524376064 = 140744^2 + 211008^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64333249601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 172475014 + ... + 172475386.

Almost surely, 2^64333249600 is an apocalyptic number.

64333249600 is the 253640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64333249600

64333249600 is an abundant number, since it is smaller than the sum of its proper divisors (104278306877).

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

64333249600 is an equidigital number, since it uses as much as digits as its factorization.

64333249600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 40.

The spelling of 64333249600 in words is "sixty-four billion, three hundred thirty-three million, two hundred forty-nine thousand, six hundred".