7893624960 has 960 divisors, whose sum is σ = 32930183880. Its totient is φ = 1794244608.

The previous prime is 7893624941. The next prime is 7893624967. The reversal of 7893624960 is 694263987.

It is a happy number.

7893624960 is a `hidden beast` number, since 7 + 8 + 9 + 3 + 624 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 291180096 + 7602444864 = 17064^2 + 87192^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 = 7893624897 and 7893624906.

It is not an unprimeable number, because it can be changed into a prime (7893624967) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 148936294 + ... + 148936346.

Almost surely, 2^7893624960 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 7893624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465091940).

7893624960 is an abundant number, since it is smaller than the sum of its proper divisors (25036558920).

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

7893624960 is a wasteful number, since it uses less digits than its factorization.

7893624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 7893624960 is about 88846.0745334311. The cubic root of 7893624960 is about 1991.0958300420.

The spelling of 7893624960 in words is "seven billion, eight hundred ninety-three million, six hundred twenty-four thousand, nine hundred sixty".