7746990325760 has 960 divisors, whose sum is σ = 23679059443200. Its totient is φ = 2371828580352.

The previous prime is 7746990325757. The next prime is 7746990325807. The reversal of 7746990325760 is 675230996477.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 18941296436 + ... + 18941296844.

It is an arithmetic number, because the mean of its divisors is an integer number (24665686920).

Almost surely, 2^{7746990325760} is an apocalyptic number.

7746990325760 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 7746990325760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11839529721600).

7746990325760 is an abundant number, since it is smaller than the sum of its proper divisors (15932069117440).

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

7746990325760 is a wasteful number, since it uses less digits than its factorization.

7746990325760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 120022560, while the sum is 65.

The spelling of 7746990325760 in words is "seven trillion, seven hundred forty-six billion, nine hundred ninety million, three hundred twenty-five thousand, seven hundred sixty".