8196408000 has 672 divisors, whose sum is σ = 32637496320. Its totient is φ = 1946880000.

The previous prime is 8196407993. The next prime is 8196408001. The reversal of 8196408000 is 8046918.

It is a happy number.

8196408000 is a `hidden beast` number, since 8 + 1 + 9 + 640 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×8196408000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8196408001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62567935 + ... + 62568065.

Almost surely, 2^8196408000 is an apocalyptic number.

8196408000 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 8196408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16318748160).

8196408000 is an abundant number, since it is smaller than the sum of its proper divisors (24441088320).

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

8196408000 is a wasteful number, since it uses less digits than its factorization.

8196408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 8196408000 is about 90534.0157068049. The cubic root of 8196408000 is about 2016.2351860920.

The spelling of 8196408000 in words is "eight billion, one hundred ninety-six million, four hundred eight thousand".