7433865216 has 144 divisors (see below), whose sum is σ = 22601451600. Its totient is φ = 2347425792.

The previous prime is 7433865199. The next prime is 7433865251. The reversal of 7433865216 is 6125683347.

7433865216 is a `hidden beast` number, since 7 + 43 + 3 + 86 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 339595 + ... + 360821.

It is an arithmetic number, because the mean of its divisors is an integer number (156954525).

Almost surely, 2^7433865216 is an apocalyptic number.

7433865216 is a gapful number since it is divisible by the number (76) 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 7433865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11300725800).

7433865216 is an abundant number, since it is smaller than the sum of its proper divisors (15167586384).

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

7433865216 is a wasteful number, since it uses less digits than its factorization.

7433865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21274 (or 21251 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 7433865216 is about 86219.8655531311. The cubic root of 7433865216 is about 1951.6632940695.

The spelling of 7433865216 in words is "seven billion, four hundred thirty-three million, eight hundred sixty-five thousand, two hundred sixteen".