8687374924800 has 4224 divisors, whose sum is σ = 39299884646400. Its totient is φ = 1656225792000.

The previous prime is 8687374924771. The next prime is 8687374924889. The reversal of 8687374924800 is 84294737868.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 109966771161 + ... + 109966771239.

Almost surely, 2^{8687374924800} is an apocalyptic number.

8687374924800 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 8687374924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19649942323200).

8687374924800 is an abundant number, since it is smaller than the sum of its proper divisors (30612509721600).

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

8687374924800 is a wasteful number, since it uses less digits than its factorization.

8687374924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 66.

The spelling of 8687374924800 in words is "eight trillion, six hundred eighty-seven billion, three hundred seventy-four million, nine hundred twenty-four thousand, eight hundred".