7629676656 has 160 divisors (see below), whose sum is σ = 23771335680. Its totient is φ = 2061514752.

The previous prime is 7629676603. The next prime is 7629676673. The reversal of 7629676656 is 6566769267.

It is a super-2 number, since 2×7629676656² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 7629676656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 682246 + ... + 693338.

It is an arithmetic number, because the mean of its divisors is an integer number (148570848).

Almost surely, 2^7629676656 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 7629676656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11885667840).

7629676656 is an abundant number, since it is smaller than the sum of its proper divisors (16141659024).

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

7629676656 is a wasteful number, since it uses less digits than its factorization.

7629676656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223 (or 11217 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 60.

The square root of 7629676656 is about 87348.0203324609. The cubic root of 7629676656 is about 1968.6509058836.

The spelling of 7629676656 in words is "seven billion, six hundred twenty-nine million, six hundred seventy-six thousand, six hundred fifty-six".