8473600512 has 480 divisors, whose sum is σ = 28359851520. Its totient is φ = 2523156480.

The previous prime is 8473600507. The next prime is 8473600523. The reversal of 8473600512 is 2150063748.

8473600512 is a `hidden beast` number, since 8 + 47 + 3 + 600 + 5 + 1 + 2 = 666.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273341937 + ... + 273341967.

It is an arithmetic number, because the mean of its divisors is an integer number (59083024).

Almost surely, 2^8473600512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8473600512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14179925760).

8473600512 is an abundant number, since it is smaller than the sum of its proper divisors (19886251008).

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

8473600512 is an frugal number, since it uses more digits than its factorization.

8473600512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 8473600512 is about 92052.1619083441. The cubic root of 8473600512 is about 2038.7125440513.

The spelling of 8473600512 in words is "eight billion, four hundred seventy-three million, six hundred thousand, five hundred twelve".