8041815600 has 240 divisors, whose sum is σ = 31705804032. Its totient is φ = 1696711680.

The previous prime is 8041815599. The next prime is 8041815601. The reversal of 8041815600 is 65181408.

It is an interprime number because it is at equal distance from previous prime (8041815599) and next prime (8041815601).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (8041815601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72379 + ... + 146021.

Almost surely, 2^8041815600 is an apocalyptic number.

8041815600 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 8041815600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15852902016).

8041815600 is an abundant number, since it is smaller than the sum of its proper divisors (23663988432).

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

8041815600 is a wasteful number, since it uses less digits than its factorization.

8041815600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73684 (or 73673 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 8041815600 is about 89676.1707478637. The cubic root of 8041815600 is about 2003.4785795677.

The spelling of 8041815600 in words is "eight billion, forty-one million, eight hundred fifteen thousand, six hundred".