8670412800 has 684 divisors, whose sum is σ = 37056605160. Its totient is φ = 1981808640.

The previous prime is 8670412769. The next prime is 8670412853. The reversal of 8670412800 is 82140768.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1238630397 + ... + 1238630403.

Almost surely, 2^8670412800 is an apocalyptic number.

8670412800 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 8670412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528302580).

8670412800 is an abundant number, since it is smaller than the sum of its proper divisors (28386192360).

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

8670412800 is an frugal number, since it uses more digits than its factorization.

8670412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8670412800 is about 93115.0514149028. The cubic root of 8670412800 is about 2054.3759626850.

The spelling of 8670412800 in words is "eight billion, six hundred seventy million, four hundred twelve thousand, eight hundred".