7850663424 has 320 divisors, whose sum is σ = 24371297280. Its totient is φ = 2492743680.

The previous prime is 7850663423. The next prime is 7850663437. The reversal of 7850663424 is 4243660587.

7850663424 is a `hidden beast` number, since 7 + 8 + 5 + 0 + 6 + 634 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7850663424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7850663423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27938164 + ... + 27938444.

It is an arithmetic number, because the mean of its divisors is an integer number (76160304).

Almost surely, 2^7850663424 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 7850663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12185648640).

7850663424 is an abundant number, since it is smaller than the sum of its proper divisors (16520633856).

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

7850663424 is a wasteful number, since it uses less digits than its factorization.

7850663424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7850663424 is about 88603.9695724746. The cubic root of 7850663424 is about 1987.4770366873.

The spelling of 7850663424 in words is "seven billion, eight hundred fifty million, six hundred sixty-three thousand, four hundred twenty-four".