7648143264828 has 288 divisors, whose sum is σ = 24164897702400. Its totient is φ = 2086448855040.

The previous prime is 7648143264803. The next prime is 7648143264829. The reversal of 7648143264828 is 8284623418467.

It is a happy number.

7648143264828 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 143 + 2 + 6 + 482 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7648143264829) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3265848 + ... + 5095296.

It is an arithmetic number, because the mean of its divisors is an integer number (83905894800).

Almost surely, 2^{7648143264828} 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 7648143264828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12082448851200).

7648143264828 is an abundant number, since it is smaller than the sum of its proper divisors (16516754437572).

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

7648143264828 is a wasteful number, since it uses less digits than its factorization.

7648143264828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829519 (or 1829505 counting only the distinct ones).

The product of its digits is 99090432, while the sum is 63.

The spelling of 7648143264828 in words is "seven trillion, six hundred forty-eight billion, one hundred forty-three million, two hundred sixty-four thousand, eight hundred twenty-eight".