7875448560 has 600 divisors, whose sum is σ = 33713087760. Its totient is φ = 1693052928.

The previous prime is 7875448507. The next prime is 7875448579. The reversal of 7875448560 is 658445787.

7875448560 is a `hidden beast` number, since 7 + 8 + 75 + 4 + 4 + 8 + 560 = 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 = 7875448497 and 7875448506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5397111 + ... + 5398569.

Almost surely, 2^7875448560 is an apocalyptic number.

7875448560 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 7875448560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16856543880).

7875448560 is an abundant number, since it is smaller than the sum of its proper divisors (25837639200).

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

7875448560 is a wasteful number, since it uses less digits than its factorization.

7875448560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1515 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The square root of 7875448560 is about 88743.7240597892. The cubic root of 7875448560 is about 1989.5663777474.

The spelling of 7875448560 in words is "seven billion, eight hundred seventy-five million, four hundred forty-eight thousand, five hundred sixty".