8487920627200 has 240 divisors, whose sum is σ = 24808987551744. Its totient is φ = 2816267673600.

The previous prime is 8487920627189. The next prime is 8487920627297. The reversal of 8487920627200 is 27260297848.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249677 + ... + 4305523.

Almost surely, 2^{8487920627200} is an apocalyptic number.

8487920627200 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 8487920627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12404493775872).

8487920627200 is an abundant number, since it is smaller than the sum of its proper divisors (16321066924544).

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

8487920627200 is a wasteful number, since it uses less digits than its factorization.

8487920627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3055913 (or 3055892 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 8487920627200 in words is "eight trillion, four hundred eighty-seven billion, nine hundred twenty million, six hundred twenty-seven thousand, two hundred".