4095636480 has 704 divisors, whose sum is σ = 16341937920. Its totient is φ = 966131712.

The previous prime is 4095636463. The next prime is 4095636499. The reversal of 4095636480 is 846365904.

4095636480 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 636 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77276134 + ... + 77276186.

It is an arithmetic number, because the mean of its divisors is an integer number (23212980).

Almost surely, 2^4095636480 is an apocalyptic number.

4095636480 is a gapful number since it is divisible by the number (40) 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 4095636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8170968960).

4095636480 is an abundant number, since it is smaller than the sum of its proper divisors (12246301440).

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

4095636480 is a wasteful number, since it uses less digits than its factorization.

4095636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4095636480 is about 63997.1599369847. The cubic root of 4095636480 is about 1599.9526652663.

The spelling of 4095636480 in words is "four billion, ninety-five million, six hundred thirty-six thousand, four hundred eighty".