8745408000 has 800 divisors, whose sum is σ = 37384446528. Its totient is φ = 1990656000.

The previous prime is 8745407999. The next prime is 8745408011. The reversal of 8745408000 is 8045478.

It is a tau number, because it is divible by the number of its divisors (800).

It is a super-2 number, since 2×8745408000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36287880 + ... + 36288120.

Almost surely, 2^8745408000 is an apocalyptic number.

8745408000 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 8745408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18692223264).

8745408000 is an abundant number, since it is smaller than the sum of its proper divisors (28639038528).

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

8745408000 is an equidigital number, since it uses as much as digits as its factorization.

8745408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 8745408000 is about 93516.8861757063. The cubic root of 8745408000 is about 2060.2821117392.

The spelling of 8745408000 in words is "eight billion, seven hundred forty-five million, four hundred eight thousand".