64226131200 has 1080 divisors, whose sum is σ = 296254580160. Its totient is φ = 13337395200.

The previous prime is 64226131199. The next prime is 64226131261. The reversal of 64226131200 is 213162246.

64226131200 is a `hidden beast` number, since 6 + 4 + 22 + 613 + 1 + 20 + 0 = 666.

64226131200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×64226131200² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39915996 + ... + 39917604.

Almost surely, 2^64226131200 is an apocalyptic number.

64226131200 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 64226131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148127290080).

64226131200 is an abundant number, since it is smaller than the sum of its proper divisors (232028448960).

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

64226131200 is a wasteful number, since it uses less digits than its factorization.

64226131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 64226131200 its reverse (213162246), we get a palindrome (64439293446).

The spelling of 64226131200 in words is "sixty-four billion, two hundred twenty-six million, one hundred thirty-one thousand, two hundred".