4210627680 has 144 divisors (see below), whose sum is σ = 16421487264. Its totient is φ = 962426880.

The previous prime is 4210627649. The next prime is 4210627691. The reversal of 4210627680 is 867260124.

4210627680 is a `hidden beast` number, since 4 + 21 + 0 + 627 + 6 + 8 + 0 = 666.

4210627680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198781 + ... + 218940.

It is an arithmetic number, because the mean of its divisors is an integer number (114038106).

Almost surely, 2^4210627680 is an apocalyptic number.

4210627680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4210627680 is an abundant number, since it is smaller than the sum of its proper divisors (12210859584).

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

4210627680 is a wasteful number, since it uses less digits than its factorization.

4210627680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417749 (or 417738 counting only the distinct ones).

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

The square root of 4210627680 is about 64889.3495113027. The cubic root of 4210627680 is about 1614.7883730662.

The spelling of 4210627680 in words is "four billion, two hundred ten million, six hundred twenty-seven thousand, six hundred eighty".