64050010000 has 100 divisors (see below), whose sum is σ = 155291775100. Its totient is φ = 25583616000.

The previous prime is 64050009997. The next prime is 64050010009. The reversal of 64050010000 is 1005046.

It can be written as a sum of positive squares in 10 ways, for example, as 60628227984 + 3421782016 = 246228^2 + 58496^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (64050010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7685836 + ... + 7694164.

It is an arithmetic number, because the mean of its divisors is an integer number (1552917751).

Almost surely, 2^64050010000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64050010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77645887550).

64050010000 is an abundant number, since it is smaller than the sum of its proper divisors (91241765100).

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

64050010000 is an equidigital number, since it uses as much as digits as its factorization.

64050010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9126 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 64050010000 its reverse (1005046), we get a palindrome (64051015046).

The spelling of 64050010000 in words is "sixty-four billion, fifty million, ten thousand".