8122464000 has 1152 divisors, whose sum is σ = 36733132800. Its totient is φ = 1725235200.

The previous prime is 8122463963. The next prime is 8122464013. The reversal of 8122464000 is 4642218.

8122464000 is a `hidden beast` number, since 8 + 12 + 2 + 4 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 102815961 + ... + 102816039.

It is an arithmetic number, because the mean of its divisors is an integer number (31886400).

Almost surely, 2^8122464000 is an apocalyptic number.

8122464000 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 8122464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18366566400).

8122464000 is an abundant number, since it is smaller than the sum of its proper divisors (28610668800).

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

8122464000 is a wasteful number, since it uses less digits than its factorization.

8122464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8122464000 is about 90124.7135917779. The cubic root of 8122464000 is about 2010.1536973136.

The spelling of 8122464000 in words is "eight billion, one hundred twenty-two million, four hundred sixty-four thousand".