210672638700 has 144 divisors (see below), whose sum is σ = 633057294240. Its totient is φ = 54046586880.

The previous prime is 210672638677. The next prime is 210672638707. The reversal of 210672638700 is 7836276012.

It is not an unprimeable number, because it can be changed into a prime (210672638707) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 881274 + ... + 1094526.

It is an arithmetic number, because the mean of its divisors is an integer number (4396231210).

Almost surely, 2^210672638700 is an apocalyptic number.

210672638700 is a gapful number since it is divisible by the number (20) 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 210672638700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316528647120).

210672638700 is an abundant number, since it is smaller than the sum of its proper divisors (422384655540).

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

210672638700 is a wasteful number, since it uses less digits than its factorization.

210672638700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213396 (or 213389 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 210672638700 in words is "two hundred ten billion, six hundred seventy-two million, six hundred thirty-eight thousand, seven hundred".