8829656640 has 448 divisors, whose sum is σ = 36146841600. Its totient is φ = 1987172352.

The previous prime is 8829656621. The next prime is 8829656663. The reversal of 8829656640 is 466569288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4051071 + ... + 4053249.

Almost surely, 2^8829656640 is an apocalyptic number.

8829656640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8829656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18073420800).

8829656640 is an abundant number, since it is smaller than the sum of its proper divisors (27317184960).

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

8829656640 is a wasteful number, since it uses less digits than its factorization.

8829656640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The square root of 8829656640 is about 93966.2526655182. The cubic root of 8829656640 is about 2066.8768698206.

The spelling of 8829656640 in words is "eight billion, eight hundred twenty-nine million, six hundred fifty-six thousand, six hundred forty".