64035360000 has 810 divisors, whose sum is σ = 243502180922. Its totient is φ = 16796160000.

The previous prime is 64035359987. The next prime is 64035360007. The reversal of 64035360000 is 6353046.

64035360000 is a `hidden beast` number, since 6 + 4 + 0 + 3 + 53 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 44079842304 + 19955517696 = 209952^2 + 141264^2 .

It is a tau number, because it is divible by the number of its divisors (810).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64035360007) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 1049759970 + ... + 1049760030.

Almost surely, 2^64035360000 is an apocalyptic number.

64035360000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64035360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121751090461).

64035360000 is an abundant number, since it is smaller than the sum of its proper divisors (179466820922).

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

64035360000 is an frugal number, since it uses more digits than its factorization.

64035360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 64035360000 in words is "sixty-four billion, thirty-five million, three hundred sixty thousand".