7779675959664 has 240 divisors, whose sum is σ = 24734126736000. Its totient is φ = 2095085357568.

The previous prime is 7779675959647. The next prime is 7779675959669. The reversal of 7779675959664 is 4669595769777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7779675959669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8361687 + ... + 9245385.

It is an arithmetic number, because the mean of its divisors is an integer number (103058861400).

Almost surely, 2^{7779675959664} 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 7779675959664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12367063368000).

7779675959664 is an abundant number, since it is smaller than the sum of its proper divisors (16954450776336).

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

7779675959664 is a wasteful number, since it uses less digits than its factorization.

7779675959664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883940 (or 883927 counting only the distinct ones).

The product of its digits is 37807106400, while the sum is 87.

The spelling of 7779675959664 in words is "seven trillion, seven hundred seventy-nine billion, six hundred seventy-five million, nine hundred fifty-nine thousand, six hundred sixty-four".