8306064000 has 1280 divisors, whose sum is σ = 36389152800. Its totient is φ = 1857945600.

The previous prime is 8306063999. The next prime is 8306064001. The reversal of 8306064000 is 4606038.

It is an interprime number because it is at equal distance from previous prime (8306063999) and next prime (8306064001).

It can be written as a sum of positive squares in 16 ways, for example, as 501401664 + 7804662336 = 22392^2 + 88344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8306064001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 286415986 + ... + 286416014.

Almost surely, 2^8306064000 is an apocalyptic number.

8306064000 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 8306064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18194576400).

8306064000 is an abundant number, since it is smaller than the sum of its proper divisors (28083088800).

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

8306064000 is a wasteful number, since it uses less digits than its factorization.

8306064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 8306064000 is about 91137.6102385837. The cubic root of 8306064000 is about 2025.1868140409.

The spelling of 8306064000 in words is "eight billion, three hundred six million, sixty-four thousand".