7778532348664 has 192 divisors, whose sum is σ = 20229179397120. Its totient is φ = 2760315264000.

The previous prime is 7778532348617. The next prime is 7778532348673. The reversal of 7778532348664 is 4668432358777.

It is a junction number, because it is equal to n+sod(n) for n = 7778532348593 and 7778532348602.

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 47 ways as a sum of consecutive naturals, for example, 560919 + ... + 3983929.

It is an arithmetic number, because the mean of its divisors is an integer number (105360309360).

Almost surely, 2^{7778532348664} 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 7778532348664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10114589698560).

7778532348664 is an abundant number, since it is smaller than the sum of its proper divisors (12450647048456).

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

7778532348664 is a wasteful number, since it uses less digits than its factorization.

7778532348664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423090 (or 3423079 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 70.

The spelling of 7778532348664 in words is "seven trillion, seven hundred seventy-eight billion, five hundred thirty-two million, three hundred forty-eight thousand, six hundred sixty-four".