8478518400 has 576 divisors, whose sum is σ = 34148335200. Its totient is φ = 2052864000.

The previous prime is 8478518393. The next prime is 8478518431. The reversal of 8478518400 is 48158748.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10453995 + ... + 10454805.

Almost surely, 2^8478518400 is an apocalyptic number.

8478518400 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 8478518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17074167600).

8478518400 is an abundant number, since it is smaller than the sum of its proper divisors (25669816800).

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

8478518400 is a wasteful number, since it uses less digits than its factorization.

8478518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The square root of 8478518400 is about 92078.8705404231. The cubic root of 8478518400 is about 2039.1068754777.

The spelling of 8478518400 in words is "eight billion, four hundred seventy-eight million, five hundred eighteen thousand, four hundred".