7561005983280 has 560 divisors, whose sum is σ = 28588181114304. Its totient is φ = 1851369799680.

The previous prime is 7561005983273. The next prime is 7561005983291. The reversal of 7561005983280 is 823895001657.

7561005983280 is a `hidden beast` number, since 7 + 5 + 6 + 10 + 0 + 598 + 32 + 8 + 0 = 666.

It is a super-2 number, since 2×7561005983280² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40556037 + ... + 40742043.

Almost surely, 2^{7561005983280} 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 7561005983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14294090557152).

7561005983280 is an abundant number, since it is smaller than the sum of its proper divisors (21027175131024).

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

7561005983280 is a wasteful number, since it uses less digits than its factorization.

7561005983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186096 (or 186075 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 7561005983280 in words is "seven trillion, five hundred sixty-one billion, five million, nine hundred eighty-three thousand, two hundred eighty".