7563838464 has 528 divisors, whose sum is σ = 27896843520. Its totient is φ = 1919877120.

The previous prime is 7563838463. The next prime is 7563838481. The reversal of 7563838464 is 4648383657.

7563838464 is a `hidden beast` number, since 7 + 563 + 8 + 38 + 46 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7563838464.

It is not an unprimeable number, because it can be changed into a prime (7563838463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24320869 + ... + 24321179.

Almost surely, 2^7563838464 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 7563838464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13948421760).

7563838464 is an abundant number, since it is smaller than the sum of its proper divisors (20333005056).

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

7563838464 is a wasteful number, since it uses less digits than its factorization.

7563838464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 365 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The square root of 7563838464 is about 86970.3309410744. The cubic root of 7563838464 is about 1962.9718957920.

The spelling of 7563838464 in words is "seven billion, five hundred sixty-three million, eight hundred thirty-eight thousand, four hundred sixty-four".