8830416640 has 72 divisors (see below), whose sum is σ = 21339139248. Its totient is φ = 3500851200.

The previous prime is 8830416613. The next prime is 8830416659. The reversal of 8830416640 is 466140388.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 8830416593 and 8830416602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114115 + ... + 175165.

It is an arithmetic number, because the mean of its divisors is an integer number (296376934).

Almost surely, 2^8830416640 is an apocalyptic number.

8830416640 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 8830416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669569624).

8830416640 is an abundant number, since it is smaller than the sum of its proper divisors (12508722608).

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

8830416640 is a wasteful number, since it uses less digits than its factorization.

8830416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61185 (or 61171 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 8830416640 is about 93970.2965835481. The cubic root of 8830416640 is about 2066.9361692708.

The spelling of 8830416640 in words is "eight billion, eight hundred thirty million, four hundred sixteen thousand, six hundred forty".