7616226816 has 480 divisors, whose sum is σ = 25615789056. Its totient is φ = 2156544000.

The previous prime is 7616226811. The next prime is 7616226851. The reversal of 7616226816 is 6186226167.

7616226816 is a `hidden beast` number, since 7 + 6 + 1 + 622 + 6 + 8 + 16 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7616226811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58139071 + ... + 58139201.

Almost surely, 2^7616226816 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 7616226816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12807894528).

7616226816 is an abundant number, since it is smaller than the sum of its proper divisors (17999562240).

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

7616226816 is a wasteful number, since it uses less digits than its factorization.

7616226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 215 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 7616226816 is about 87270.9964191999. The cubic root of 7616226816 is about 1967.4934250391.

It can be divided in two parts, 7616 and 226816, that added together give a palindrome (234432).

The spelling of 7616226816 in words is "seven billion, six hundred sixteen million, two hundred twenty-six thousand, eight hundred sixteen".