7835222016 has 266 divisors, whose sum is σ = 24067919022. Its totient is φ = 2548039680.

The previous prime is 7835221993. The next prime is 7835222023. The reversal of 7835222016 is 6102225387.

7835222016 is a `hidden beast` number, since 78 + 352 + 220 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4777574400 + 3057647616 = 69120^2 + 55296^2 .

It is a super-2 number, since 2×7835222016² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 191102956 + ... + 191102996.

Almost surely, 2^7835222016 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 7835222016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12033959511).

7835222016 is an abundant number, since it is smaller than the sum of its proper divisors (16232697006).

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

7835222016 is an frugal number, since it uses more digits than its factorization.

7835222016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7835222016 is about 88516.7894582717. The cubic root of 7835222016 is about 1986.1731304605.

The spelling of 7835222016 in words is "seven billion, eight hundred thirty-five million, two hundred twenty-two thousand, sixteen".