8460964000 has 96 divisors (see below), whose sum is σ = 21692676096. Its totient is φ = 3237203200.

The previous prime is 8460963949. The next prime is 8460964003. The reversal of 8460964000 is 4690648.

It is not an unprimeable number, because it can be changed into a prime (8460964003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46017 + ... + 137983.

It is an arithmetic number, because the mean of its divisors is an integer number (225965376).

Almost surely, 2^8460964000 is an apocalyptic number.

8460964000 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 8460964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10846338048).

8460964000 is an abundant number, since it is smaller than the sum of its proper divisors (13231712096).

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

8460964000 is a wasteful number, since it uses less digits than its factorization.

8460964000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92015 (or 91997 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 8460964000 is about 91983.4985201150. The cubic root of 8460964000 is about 2037.6986093672.

The spelling of 8460964000 in words is "eight billion, four hundred sixty million, nine hundred sixty-four thousand".