4207071680 has 224 divisors, whose sum is σ = 12275490816. Its totient is φ = 1341812736.

The previous prime is 4207071679. The next prime is 4207071691. The reversal of 4207071680 is 861707024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4207071680.

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, 1905137 + ... + 1907343.

Almost surely, 2^4207071680 is an apocalyptic number.

4207071680 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 4207071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6137745408).

4207071680 is an abundant number, since it is smaller than the sum of its proper divisors (8068419136).

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

4207071680 is a wasteful number, since it uses less digits than its factorization.

4207071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 35.

The square root of 4207071680 is about 64861.9432333013. The cubic root of 4207071680 is about 1614.3336661410. Note that the first 3 decimals are identical.

The spelling of 4207071680 in words is "four billion, two hundred seven million, seventy-one thousand, six hundred eighty".