8064396480 has 448 divisors, whose sum is σ = 31455360000. Its totient is φ = 1744920576.

The previous prime is 8064396469. The next prime is 8064396491. The reversal of 8064396480 is 846934608.

It is an interprime number because it is at equal distance from previous prime (8064396469) and next prime (8064396491).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6255676 + ... + 6256964.

Almost surely, 2^8064396480 is an apocalyptic number.

8064396480 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 8064396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727680000).

8064396480 is an abundant number, since it is smaller than the sum of its proper divisors (23390963520).

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

8064396480 is a wasteful number, since it uses less digits than its factorization.

8064396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The square root of 8064396480 is about 89801.9848332986. The cubic root of 8064396480 is about 2005.3520384004.

The spelling of 8064396480 in words is "eight billion, sixty-four million, three hundred ninety-six thousand, four hundred eighty".