7814223648 has 432 divisors, whose sum is σ = 28637219520. Its totient is φ = 1998259200.

The previous prime is 7814223629. The next prime is 7814223649. The reversal of 7814223648 is 8463224187.

It is a happy number.

It is a super-3 number, since 3×7814223648³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (7814223649) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11021118 + ... + 11021826.

It is an arithmetic number, because the mean of its divisors is an integer number (66289860).

Almost surely, 2^7814223648 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 7814223648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14318609760).

7814223648 is an abundant number, since it is smaller than the sum of its proper divisors (20822995872).

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

7814223648 is a wasteful number, since it uses less digits than its factorization.

7814223648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 7814223648 is about 88398.0975360895. The cubic root of 7814223648 is about 1984.3972306644.

The spelling of 7814223648 in words is "seven billion, eight hundred fourteen million, two hundred twenty-three thousand, six hundred forty-eight".