8748712800 has 360 divisors, whose sum is σ = 32327618400. Its totient is φ = 2302110720.

The previous prime is 8748712769. The next prime is 8748712829. The reversal of 8748712800 is 82178478.

8748712800 is a `hidden beast` number, since 87 + 487 + 12 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5118346 + ... + 5120054.

It is an arithmetic number, because the mean of its divisors is an integer number (89798940).

Almost surely, 2^8748712800 is an apocalyptic number.

8748712800 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 8748712800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163809200).

8748712800 is an abundant number, since it is smaller than the sum of its proper divisors (23578905600).

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

8748712800 is a wasteful number, since it uses less digits than its factorization.

8748712800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 8748712800 is about 93534.5540428777. The cubic root of 8748712800 is about 2060.5415988835.

The spelling of 8748712800 in words is "eight billion, seven hundred forty-eight million, seven hundred twelve thousand, eight hundred".