7550961874560 has 768 divisors, whose sum is σ = 28324895508000. Its totient is φ = 1842575966208.

The previous prime is 7550961874507. The next prime is 7550961874601. The reversal of 7550961874560 is 654781690557.

7550961874560 is a `hidden beast` number, since 7 + 5 + 5 + 0 + 9 + 61 + 8 + 7 + 4 + 560 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 246309719616 + 7304652154944 = 496296^2 + 2702712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4612682062 + ... + 4612683698.

Almost surely, 2^{7550961874560} 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 7550961874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14162447754000).

7550961874560 is an abundant number, since it is smaller than the sum of its proper divisors (20773933633440).

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

7550961874560 is a wasteful number, since it uses less digits than its factorization.

7550961874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 63.

The spelling of 7550961874560 in words is "seven trillion, five hundred fifty billion, nine hundred sixty-one million, eight hundred seventy-four thousand, five hundred sixty".