8956416000 has 832 divisors, whose sum is σ = 36800524800. Its totient is φ = 1926758400.

The previous prime is 8956415987. The next prime is 8956416013. The reversal of 8956416000 is 6146598.

It is an interprime number because it is at equal distance from previous prime (8956415987) and next prime (8956416013).

It is a self number, because there is not a number n which added to its sum of digits gives 8956416000.

It is a congruent number.

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, 526847992 + ... + 526848008.

It is an arithmetic number, because the mean of its divisors is an integer number (44231400).

Almost surely, 2^8956416000 is an apocalyptic number.

8956416000 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 8956416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18400262400).

8956416000 is an abundant number, since it is smaller than the sum of its proper divisors (27844108800).

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

8956416000 is an equidigital number, since it uses as much as digits as its factorization.

8956416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 8956416000 is about 94638.3431807637. The cubic root of 8956416000 is about 2076.7206707891.

The spelling of 8956416000 in words is "eight billion, nine hundred fifty-six million, four hundred sixteen thousand".