8937864000 has 560 divisors, whose sum is σ = 35642342736. Its totient is φ = 2198016000.

The previous prime is 8937863981. The next prime is 8937864007. The reversal of 8937864000 is 4687398.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3887771904 + 5050092096 = 62352^2 + 71064^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8937864007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8423470 + ... + 8424530.

Almost surely, 2^8937864000 is an apocalyptic number.

8937864000 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 8937864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821171368).

8937864000 is an abundant number, since it is smaller than the sum of its proper divisors (26704478736).

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

8937864000 is a wasteful number, since it uses less digits than its factorization.

8937864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 8937864000 is about 94540.2771309668. The cubic root of 8937864000 is about 2075.2857979593.

The spelling of 8937864000 in words is "eight billion, nine hundred thirty-seven million, eight hundred sixty-four thousand".