7875624960 has 576 divisors, whose sum is σ = 32050547100. Its totient is φ = 1783627776.

The previous prime is 7875624923. The next prime is 7875624961. The reversal of 7875624960 is 694265787.

7875624960 is a `hidden beast` number, since 7 + 8 + 7 + 5 + 624 + 9 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7868399616 + 7225344 = 88704^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 7875624897 and 7875624906.

It is not an unprimeable number, because it can be changed into a prime (7875624961) 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 35 ways as a sum of consecutive naturals, for example, 72253386 + ... + 72253494.

Almost surely, 2^7875624960 is an apocalyptic number.

7875624960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7875624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16025273550).

7875624960 is an abundant number, since it is smaller than the sum of its proper divisors (24174922140).

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

7875624960 is a wasteful number, since it uses less digits than its factorization.

7875624960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 7875624960 is about 88744.7179273223. The cubic root of 7875624960 is about 1989.5812322194.

The spelling of 7875624960 in words is "seven billion, eight hundred seventy-five million, six hundred twenty-four thousand, nine hundred sixty".