64814000000 has 224 divisors, whose sum is σ = 168536905200. Its totient is φ = 24780800000.

The previous prime is 64813999997. The next prime is 64814000057. The reversal of 64814000000 is 41846.

It is a happy number.

64814000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 64814000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 45999296 + ... + 46000704.

Almost surely, 2^64814000000 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 64814000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84268452600).

64814000000 is an abundant number, since it is smaller than the sum of its proper divisors (103722905200).

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

64814000000 is an frugal number, since it uses more digits than its factorization.

64814000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 64814000000 its reverse (41846), we get a palindrome (64814041846).

The spelling of 64814000000 in words is "sixty-four billion, eight hundred fourteen million", and thus it is an aban number.