7545663784960 has 192 divisors, whose sum is σ = 20762302579200. Its totient is φ = 2578247909376.

The previous prime is 7545663784951. The next prime is 7545663784991. The reversal of 7545663784960 is 694873665457.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a self number, because there is not a number n which added to its sum of digits gives 7545663784960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20822601 + ... + 21181879.

It is an arithmetic number, because the mean of its divisors is an integer number (108136992600).

Almost surely, 2^{7545663784960} is an apocalyptic number.

7545663784960 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 7545663784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10381151289600).

7545663784960 is an abundant number, since it is smaller than the sum of its proper divisors (13216638794240).

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

7545663784960 is a wasteful number, since it uses less digits than its factorization.

7545663784960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359606 (or 359586 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 70.

The spelling of 7545663784960 in words is "seven trillion, five hundred forty-five billion, six hundred sixty-three million, seven hundred eighty-four thousand, nine hundred sixty".