8506472800 has 144 divisors (see below), whose sum is σ = 23803476480. Its totient is φ = 2907855360.

The previous prime is 8506472791. The next prime is 8506472833. The reversal of 8506472800 is 82746058.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2053131 + ... + 2057269.

It is an arithmetic number, because the mean of its divisors is an integer number (165301920).

Almost surely, 2^8506472800 is an apocalyptic number.

8506472800 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 8506472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11901738240).

8506472800 is an abundant number, since it is smaller than the sum of its proper divisors (15297003680).

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

8506472800 is a wasteful number, since it uses less digits than its factorization.

8506472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4533 (or 4520 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 8506472800 is about 92230.5415792404. The cubic root of 8506472800 is about 2041.3454535806.

The spelling of 8506472800 in words is "eight billion, five hundred six million, four hundred seventy-two thousand, eight hundred".