64113012746400 has 288 divisors, whose sum is σ = 209044219063680. Its totient is φ = 17067624837120.

The previous prime is 64113012746389. The next prime is 64113012746459. The reversal of 64113012746400 is 464721031146.

64113012746400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×64113012746400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9556266246 + ... + 9556272954.

It is an arithmetic number, because the mean of its divisors is an integer number (725847982860).

Almost surely, 2^{64113012746400} is an apocalyptic number.

64113012746400 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 64113012746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104522109531840).

64113012746400 is an abundant number, since it is smaller than the sum of its proper divisors (144931206317280).

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

64113012746400 is a wasteful number, since it uses less digits than its factorization.

64113012746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12936 (or 12923 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

Adding to 64113012746400 its reverse (464721031146), we get a palindrome (64577733777546).

The spelling of 64113012746400 in words is "sixty-four trillion, one hundred thirteen billion, twelve million, seven hundred forty-six thousand, four hundred".