7463568960 has 336 divisors, whose sum is σ = 27103547520. Its totient is φ = 1933424640.

The previous prime is 7463568943. The next prime is 7463569013. The reversal of 7463568960 is 698653647.

7463568960 is a `hidden beast` number, since 74 + 6 + 3 + 568 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7463568897 and 7463568906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11827845 + ... + 11828475.

It is an arithmetic number, because the mean of its divisors is an integer number (80665320).

Almost surely, 2^7463568960 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 7463568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13551773760).

7463568960 is an abundant number, since it is smaller than the sum of its proper divisors (19639978560).

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

7463568960 is a wasteful number, since it uses less digits than its factorization.

7463568960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 7463568960 is about 86391.9496249506. The cubic root of 7463568960 is about 1954.2592816194.

The spelling of 7463568960 in words is "seven billion, four hundred sixty-three million, five hundred sixty-eight thousand, nine hundred sixty".