4212673920 has 1280 divisors, whose sum is σ = 19905177600. Its totient is φ = 824131584.

The previous prime is 4212673897. The next prime is 4212673921. The reversal of 4212673920 is 293762124.

4212673920 is a `hidden beast` number, since 4 + 2 + 1 + 267 + 392 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212673921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89631337 + ... + 89631383.

It is an arithmetic number, because the mean of its divisors is an integer number (15550920).

Almost surely, 2^4212673920 is an apocalyptic number.

4212673920 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 4212673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952588800).

4212673920 is an abundant number, since it is smaller than the sum of its proper divisors (15692503680).

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

4212673920 is a wasteful number, since it uses less digits than its factorization.

4212673920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 4212673920 is about 64905.1147445253. The cubic root of 4212673920 is about 1615.0499104347.

The spelling of 4212673920 in words is "four billion, two hundred twelve million, six hundred seventy-three thousand, nine hundred twenty".