8645414400 has 720 divisors, whose sum is σ = 36094975488. Its totient is φ = 1935360000.

The previous prime is 8645414399. The next prime is 8645414411. The reversal of 8645414400 is 44145468.

It is a happy number.

8645414400 is a `hidden beast` number, since 8 + 645 + 4 + 1 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57254325 + ... + 57254475.

Almost surely, 2^8645414400 is an apocalyptic number.

8645414400 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 8645414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18047487744).

8645414400 is an abundant number, since it is smaller than the sum of its proper divisors (27449561088).

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

8645414400 is a wasteful number, since it uses less digits than its factorization.

8645414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8645414400 is about 92980.7205822799. The cubic root of 8645414400 is about 2052.3996804770.

Adding to 8645414400 its reverse (44145468), we get a palindrome (8689559868).

The spelling of 8645414400 in words is "eight billion, six hundred forty-five million, four hundred fourteen thousand, four hundred".