8313036480 has 280 divisors, whose sum is σ = 33796089888. Its totient is φ = 1900081152.

The previous prime is 8313036463. The next prime is 8313036551. The reversal of 8313036480 is 846303138.

It is a happy number.

8313036480 is a `hidden beast` number, since 8 + 3 + 1 + 3 + 0 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158532 + ... + 204348.

Almost surely, 2^8313036480 is an apocalyptic number.

8313036480 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 8313036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898044944).

8313036480 is an abundant number, since it is smaller than the sum of its proper divisors (25483053408).

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

8313036480 is a wasteful number, since it uses less digits than its factorization.

8313036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45853 (or 45834 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 8313036480 is about 91175.8546984891. The cubic root of 8313036480 is about 2025.7533328819.

The spelling of 8313036480 in words is "eight billion, three hundred thirteen million, thirty-six thousand, four hundred eighty".