8487460800 has 1344 divisors, whose sum is σ = 40637399040. Its totient is φ = 1672151040.

The previous prime is 8487460789. The next prime is 8487460811. The reversal of 8487460800 is 80647848.

It is an interprime number because it is at equal distance from previous prime (8487460789) and next prime (8487460811).

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66830337 + ... + 66830463.

It is an arithmetic number, because the mean of its divisors is an integer number (30236160).

Almost surely, 2^8487460800 is an apocalyptic number.

8487460800 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 8487460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20318699520).

8487460800 is an abundant number, since it is smaller than the sum of its proper divisors (32149938240).

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

8487460800 is a wasteful number, since it uses less digits than its factorization.

8487460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8487460800 is about 92127.4161148569. The cubic root of 8487460800 is about 2039.8235141439.

The spelling of 8487460800 in words is "eight billion, four hundred eighty-seven million, four hundred sixty thousand, eight hundred".