210120672384 has 768 divisors, whose sum is σ = 772085882880. Its totient is φ = 53438939136.

The previous prime is 210120672379. The next prime is 210120672431. The reversal of 210120672384 is 483276021012.

It is a happy number.

210120672384 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 206 + 72 + 384 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 324761149 + ... + 324761795.

It is an arithmetic number, because the mean of its divisors is an integer number (1005320160).

Almost surely, 2^210120672384 is an apocalyptic number.

210120672384 is a gapful number since it is divisible by the number (24) 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 210120672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386042941440).

210120672384 is an abundant number, since it is smaller than the sum of its proper divisors (561965210496).

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

210120672384 is a wasteful number, since it uses less digits than its factorization.

210120672384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 210120672384 its reverse (483276021012), we get a palindrome (693396693396).

The spelling of 210120672384 in words is "two hundred ten billion, one hundred twenty million, six hundred seventy-two thousand, three hundred eighty-four".