7953778212864 has 352 divisors, whose sum is σ = 23277375017280. Its totient is φ = 2395786444800.

The previous prime is 7953778212827. The next prime is 7953778212907. The reversal of 7953778212864 is 4682128773597.

It is a tau number, because it is divible by the number of its divisors (352).

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 15 ways as a sum of consecutive naturals, for example, 19446890292 + ... + 19446890700.

Almost surely, 2^{7953778212864} 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 7953778212864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11638687508640).

7953778212864 is an abundant number, since it is smaller than the sum of its proper divisors (15323596804416).

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

7953778212864 is an frugal number, since it uses more digits than its factorization.

7953778212864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 706 counting only the distinct ones).

The product of its digits is 284497920, while the sum is 69.

The spelling of 7953778212864 in words is "seven trillion, nine hundred fifty-three billion, seven hundred seventy-eight million, two hundred twelve thousand, eight hundred sixty-four".