8950656000 has 704 divisors, whose sum is σ = 35192941056. Its totient is φ = 1990656000.

The previous prime is 8950655993. The next prime is 8950656023. The reversal of 8950656000 is 6560598.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×8950656000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 8950656000.

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, 54911919 + ... + 54912081.

Almost surely, 2^8950656000 is an apocalyptic number.

8950656000 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 8950656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17596470528).

8950656000 is an abundant number, since it is smaller than the sum of its proper divisors (26242285056).

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

8950656000 is a wasteful number, since it uses less digits than its factorization.

8950656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 8950656000 is about 94607.9066463263. The cubic root of 8950656000 is about 2076.2753856708.

The spelling of 8950656000 in words is "eight billion, nine hundred fifty million, six hundred fifty-six thousand".