8698464000 has 216 divisors, whose sum is σ = 31300646832. Its totient is φ = 2319513600.

The previous prime is 8698463999. The next prime is 8698464017. The reversal of 8698464000 is 4648968.

It is a happy number.

It is a Smith number, since the sum of its digits (45) 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 (45).

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, 272899 + ... + 303101.

It is an arithmetic number, because the mean of its divisors is an integer number (144910402).

Almost surely, 2^8698464000 is an apocalyptic number.

8698464000 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 8698464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15650323416).

8698464000 is an abundant number, since it is smaller than the sum of its proper divisors (22602182832).

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

8698464000 is a wasteful number, since it uses less digits than its factorization.

8698464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30240 (or 30213 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 8698464000 is about 93265.5563431645. The cubic root of 8698464000 is about 2056.5890705097.

The spelling of 8698464000 in words is "eight billion, six hundred ninety-eight million, four hundred sixty-four thousand".