8687437920 has 960 divisors, whose sum is σ = 38253067776. Its totient is φ = 1811496960.

The previous prime is 8687437907. The next prime is 8687437973. The reversal of 8687437920 is 297347868.

It is a super-2 number, since 2×8687437920² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 66316255 + ... + 66316385.

Almost surely, 2^8687437920 is an apocalyptic number.

8687437920 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 8687437920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19126533888).

8687437920 is an abundant number, since it is smaller than the sum of its proper divisors (29565629856).

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

8687437920 is a wasteful number, since it uses less digits than its factorization.

8687437920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 8687437920 is about 93206.4263878838. The cubic root of 8687437920 is about 2055.7197329767.

The spelling of 8687437920 in words is "eight billion, six hundred eighty-seven million, four hundred thirty-seven thousand, nine hundred twenty".