7879094705664 has 1680 divisors, whose sum is σ = 30551493329280. Its totient is φ = 2009089474560.

The previous prime is 7879094705653. The next prime is 7879094705701. The reversal of 7879094705664 is 4665074909787.

7879094705664 is a `hidden beast` number, since 7 + 8 + 7 + 90 + 9 + 470 + 5 + 6 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7879094705592 and 7879094705601.

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 167 ways as a sum of consecutive naturals, for example, 7370527722 + ... + 7370528790.

It is an arithmetic number, because the mean of its divisors is an integer number (18185412696).

Almost surely, 2^{7879094705664} 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 7879094705664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275746664640).

7879094705664 is an abundant number, since it is smaller than the sum of its proper divisors (22672398623616).

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

7879094705664 is a wasteful number, since it uses less digits than its factorization.

7879094705664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 7879094705664 in words is "seven trillion, eight hundred seventy-nine billion, ninety-four million, seven hundred five thousand, six hundred sixty-four".