7533781036560 has 160 divisors (see below), whose sum is σ = 25957149528960. Its totient is φ = 2008430784000.

The previous prime is 7533781036553. The next prime is 7533781036633. The reversal of 7533781036560 is 656301873357.

7533781036560 is a `hidden beast` number, since 7 + 5 + 3 + 3 + 78 + 1 + 0 + 3 + 6 + 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 = 7533781036497 and 7533781036506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7041010 + ... + 8040110.

It is an arithmetic number, because the mean of its divisors is an integer number (162232184556).

Almost surely, 2^{7533781036560} 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 7533781036560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12978574764480).

7533781036560 is an abundant number, since it is smaller than the sum of its proper divisors (18423368492400).

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

7533781036560 is a wasteful number, since it uses less digits than its factorization.

7533781036560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002614 (or 1002602 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 7533781036560 in words is "seven trillion, five hundred thirty-three billion, seven hundred eighty-one million, thirty-six thousand, five hundred sixty".