7633434816 has 504 divisors, whose sum is σ = 26995831200. Its totient is φ = 2139830784.

The previous prime is 7633434793. The next prime is 7633434827. The reversal of 7633434816 is 6184343367.

7633434816 is a `hidden beast` number, since 7 + 633 + 4 + 3 + 4 + 8 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144027046 + ... + 144027098.

Almost surely, 2^7633434816 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 7633434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13497915600).

7633434816 is an abundant number, since it is smaller than the sum of its proper divisors (19362396384).

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

7633434816 is an frugal number, since it uses more digits than its factorization.

7633434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 65 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 7633434816 is about 87369.5302493953. The cubic root of 7633434816 is about 1968.9740864931.

The spelling of 7633434816 in words is "seven billion, six hundred thirty-three million, four hundred thirty-four thousand, eight hundred sixteen".