8478691200 has 480 divisors, whose sum is σ = 35765634960. Its totient is φ = 1937571840.

The previous prime is 8478691171. The next prime is 8478691201. The reversal of 8478691200 is 21968748.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8478691201) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1812064 + ... + 1816736.

Almost surely, 2^8478691200 is an apocalyptic number.

8478691200 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 8478691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882817480).

8478691200 is an abundant number, since it is smaller than the sum of its proper divisors (27286943760).

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

8478691200 is a wasteful number, since it uses less digits than its factorization.

8478691200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4690 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8478691200 is about 92079.8088616609. The cubic root of 8478691200 is about 2039.1207283412.

The spelling of 8478691200 in words is "eight billion, four hundred seventy-eight million, six hundred ninety-one thousand, two hundred".