7563145248 has 144 divisors (see below), whose sum is σ = 22723908480. Its totient is φ = 2382202368.

The previous prime is 7563145243. The next prime is 7563145253. The reversal of 7563145248 is 8425413657.

7563145248 is a `hidden beast` number, since 7 + 5 + 631 + 4 + 5 + 2 + 4 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7563145243) and next prime (7563145253).

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7563145243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 382911 + ... + 402177.

It is an arithmetic number, because the mean of its divisors is an integer number (157804920).

Almost surely, 2^7563145248 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 7563145248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361954240).

7563145248 is an abundant number, since it is smaller than the sum of its proper divisors (15160763232).

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

7563145248 is a wasteful number, since it uses less digits than its factorization.

7563145248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19359 (or 19348 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 7563145248 is about 86966.3454906552. The cubic root of 7563145248 is about 1962.9119260159.

The spelling of 7563145248 in words is "seven billion, five hundred sixty-three million, one hundred forty-five thousand, two hundred forty-eight".