210806676640 has 192 divisors, whose sum is σ = 595372861440. Its totient is φ = 68965585920.

The previous prime is 210806676629. The next prime is 210806676653. The reversal of 210806676640 is 46676608012.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10783675 + ... + 10803205.

It is an arithmetic number, because the mean of its divisors is an integer number (3100900320).

Almost surely, 2^210806676640 is an apocalyptic number.

210806676640 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 210806676640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297686430720).

210806676640 is an abundant number, since it is smaller than the sum of its proper divisors (384566184800).

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

210806676640 is a wasteful number, since it uses less digits than its factorization.

210806676640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19995 (or 19987 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 210806676640 in words is "two hundred ten billion, eight hundred six million, six hundred seventy-six thousand, six hundred forty".