7909764352448 has 224 divisors, whose sum is σ = 18625474560000. Its totient is φ = 3260917481472.

The previous prime is 7909764352433. The next prime is 7909764352481. The reversal of 7909764352448 is 8442534679097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×7909764352448² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6184334273 + ... + 6184335551.

It is an arithmetic number, because the mean of its divisors is an integer number (83149440000).

Almost surely, 2^{7909764352448} 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 7909764352448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9312737280000).

7909764352448 is an abundant number, since it is smaller than the sum of its proper divisors (10715710207552).

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

7909764352448 is a wasteful number, since it uses less digits than its factorization.

7909764352448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 68.

The spelling of 7909764352448 in words is "seven trillion, nine hundred nine billion, seven hundred sixty-four million, three hundred fifty-two thousand, four hundred forty-eight".