8006414900 has 72 divisors (see below), whose sum is σ = 19050093216. Its totient is φ = 2896566400.

The previous prime is 8006414893. The next prime is 8006414951. The reversal of 8006414900 is 94146008.

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, 198227 + ... + 235173.

It is an arithmetic number, because the mean of its divisors is an integer number (264584628).

Almost surely, 2^8006414900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8006414900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525046608).

8006414900 is an abundant number, since it is smaller than the sum of its proper divisors (11043678316).

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

8006414900 is a wasteful number, since it uses less digits than its factorization.

8006414900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37169 (or 37162 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 8006414900 is about 89478.5722952708. The cubic root of 8006414900 is about 2000.5344321784.

The spelling of 8006414900 in words is "eight billion, six million, four hundred fourteen thousand, nine hundred".