4167600816 has 80 divisors (see below), whose sum is σ = 11147921408. Its totient is φ = 1340236800.

The previous prime is 4167600769. The next prime is 4167600821. The reversal of 4167600816 is 6180067614.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 497301 + ... + 505611.

Almost surely, 2^4167600816 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 4167600816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5573960704).

4167600816 is an abundant number, since it is smaller than the sum of its proper divisors (6980320592).

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

4167600816 is a wasteful number, since it uses less digits than its factorization.

4167600816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690 (or 8684 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 4167600816 is about 64556.9579208934. The cubic root of 4167600816 is about 1609.2692201923.

The spelling of 4167600816 in words is "four billion, one hundred sixty-seven million, six hundred thousand, eight hundred sixteen".