64026316800 has 234 divisors, whose sum is σ = 229331798202. Its totient is φ = 17073438720.

The previous prime is 64026316751. The next prime is 64026316801. The reversal of 64026316800 is 861362046.

64026316800 is a `hidden beast` number, since 640 + 2 + 6 + 3 + 1 + 6 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 5128851456 + 58897465344 = 71616^2 + 242688^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (64026316801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 886864 + ... + 956336.

Almost surely, 2^64026316800 is an apocalyptic number.

64026316800 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 64026316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114665899101).

64026316800 is an abundant number, since it is smaller than the sum of its proper divisors (165305481402).

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

64026316800 is a wasteful number, since it uses less digits than its factorization.

64026316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69513 (or 69483 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 64026316800 its reverse (861362046), we get a palindrome (64887678846).

The spelling of 64026316800 in words is "sixty-four billion, twenty-six million, three hundred sixteen thousand, eight hundred".