8134464000 has 320 divisors, whose sum is σ = 29134385280. Its totient is φ = 2001715200.

The previous prime is 8134463993. The next prime is 8134464049. The reversal of 8134464000 is 4644318.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2494371 + ... + 2497629.

It is an arithmetic number, because the mean of its divisors is an integer number (91044954).

Almost surely, 2^8134464000 is an apocalyptic number.

8134464000 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 8134464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14567192640).

8134464000 is an abundant number, since it is smaller than the sum of its proper divisors (20999921280).

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

8134464000 is a wasteful number, since it uses less digits than its factorization.

8134464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308 (or 3282 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 8134464000 is about 90191.2634349913. The cubic root of 8134464000 is about 2011.1431333202.

The spelling of 8134464000 in words is "eight billion, one hundred thirty-four million, four hundred sixty-four thousand".