7561290750720 has 576 divisors, whose sum is σ = 27906443550720. Its totient is φ = 1709095256064.

The previous prime is 7561290750719. The next prime is 7561290750731. The reversal of 7561290750720 is 270570921657.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1454931162 + ... + 1454936358.

It is an arithmetic number, because the mean of its divisors is an integer number (48448686720).

Almost surely, 2^{7561290750720} is an apocalyptic number.

7561290750720 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 7561290750720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13953221775360).

7561290750720 is an abundant number, since it is smaller than the sum of its proper divisors (20345152800000).

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

7561290750720 is a wasteful number, since it uses less digits than its factorization.

7561290750720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 1852200, while the sum is 51.

The spelling of 7561290750720 in words is "seven trillion, five hundred sixty-one billion, two hundred ninety million, seven hundred fifty thousand, seven hundred twenty".