8704640000 has 440 divisors, whose sum is σ = 26090898240. Its totient is φ = 2838528000.

The previous prime is 8704639991. The next prime is 8704640003. The reversal of 8704640000 is 464078.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8704640003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129919967 + ... + 129920033.

It is an arithmetic number, because the mean of its divisors is an integer number (59297496).

Almost surely, 2^8704640000 is an apocalyptic number.

8704640000 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 8704640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045449120).

8704640000 is an abundant number, since it is smaller than the sum of its proper divisors (17386258240).

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

8704640000 is an equidigital number, since it uses as much as digits as its factorization.

8704640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 8704640000 is about 93298.6602261790. The cubic root of 8704640000 is about 2057.0756885770.

The spelling of 8704640000 in words is "eight billion, seven hundred four million, six hundred forty thousand".