7563960960 has 512 divisors, whose sum is σ = 27046483200. Its totient is φ = 1789132800.

The previous prime is 7563960959. The next prime is 7563960961. The reversal of 7563960960 is 690693657.

It is an interprime number because it is at equal distance from previous prime (7563960959) and next prime (7563960961).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (7563960961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57740095 + ... + 57740225.

Almost surely, 2^7563960960 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 7563960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523241600).

7563960960 is an abundant number, since it is smaller than the sum of its proper divisors (19482522240).

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

7563960960 is a wasteful number, since it uses less digits than its factorization.

7563960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 51.

The square root of 7563960960 is about 86971.0351783857. The cubic root of 7563960960 is about 1962.9824924800.

The spelling of 7563960960 in words is "seven billion, five hundred sixty-three million, nine hundred sixty thousand, nine hundred sixty".