8945956720 has 80 divisors (see below), whose sum is σ = 21733608960. Its totient is φ = 3418080512.

The previous prime is 8945956711. The next prime is 8945956753. The reversal of 8945956720 is 276595498.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×8945956720² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1518741 + ... + 1524619.

It is an arithmetic number, because the mean of its divisors is an integer number (271670112).

Almost surely, 2^8945956720 is an apocalyptic number.

8945956720 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 8945956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10866804480).

8945956720 is an abundant number, since it is smaller than the sum of its proper divisors (12787652240).

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

8945956720 is a wasteful number, since it uses less digits than its factorization.

8945956720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742 (or 6736 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 55.

The square root of 8945956720 is about 94583.0678292896. The cubic root of 8945956720 is about 2075.9119595177.

The spelling of 8945956720 in words is "eight billion, nine hundred forty-five million, nine hundred fifty-six thousand, seven hundred twenty".