4206851680 has 192 divisors, whose sum is σ = 10561985280. Its totient is φ = 1581705216.

The previous prime is 4206851633. The next prime is 4206851707. The reversal of 4206851680 is 861586024.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 30265051 + ... + 30265189.

It is an arithmetic number, because the mean of its divisors is an integer number (55010340).

Almost surely, 2^4206851680 is an apocalyptic number.

4206851680 is a gapful number since it is divisible by the number (40) 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 4206851680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5280992640).

4206851680 is an abundant number, since it is smaller than the sum of its proper divisors (6355133600).

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

4206851680 is a wasteful number, since it uses less digits than its factorization.

4206851680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 4206851680 is about 64860.2473014095. The cubic root of 4206851680 is about 1614.3055262514.

The spelling of 4206851680 in words is "four billion, two hundred six million, eight hundred fifty-one thousand, six hundred eighty".