210400380064 has 96 divisors (see below), whose sum is σ = 477579787776. Its totient is φ = 89378795520.

The previous prime is 210400380049. The next prime is 210400380101. The reversal of 210400380064 is 460083004012.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13051369 + ... + 13067479.

It is an arithmetic number, because the mean of its divisors is an integer number (4974789456).

Almost surely, 2^210400380064 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 210400380064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238789893888).

210400380064 is an abundant number, since it is smaller than the sum of its proper divisors (267179407712).

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

210400380064 is a wasteful number, since it uses less digits than its factorization.

210400380064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16638 (or 16630 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 210400380064 its reverse (460083004012), we get a palindrome (670483384076).

The spelling of 210400380064 in words is "two hundred ten billion, four hundred million, three hundred eighty thousand, sixty-four".