7768637656 has 64 divisors (see below), whose sum is σ = 16217863200. Its totient is φ = 3465842688.

The previous prime is 7768637629. The next prime is 7768637659. The reversal of 7768637656 is 6567368677.

It is a junction number, because it is equal to n+sod(n) for n = 7768637594 and 7768637603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7768637659) by changing a digit.

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, 424830 + ... + 442738.

Almost surely, 2^7768637656 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 7768637656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108931600).

7768637656 is an abundant number, since it is smaller than the sum of its proper divisors (8449225544).

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

7768637656 is a wasteful number, since it uses less digits than its factorization.

7768637656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18068 (or 18064 counting only the distinct ones).

The product of its digits is 53343360, while the sum is 61.

The square root of 7768637656 is about 88139.8755161363. The cubic root of 7768637656 is about 1980.5308966478.

The spelling of 7768637656 in words is "seven billion, seven hundred sixty-eight million, six hundred thirty-seven thousand, six hundred fifty-six".