4004536320 has 560 divisors, whose sum is σ = 15414699168. Its totient is φ = 990904320.

The previous prime is 4004536309. The next prime is 4004536343. The reversal of 4004536320 is 236354004.

It is a super-2 number, since 2×4004536320² = 32072622276398284800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 56401885 + ... + 56401955.

Almost surely, 2^4004536320 is an apocalyptic number.

4004536320 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 4004536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7707349584).

4004536320 is an abundant number, since it is smaller than the sum of its proper divisors (11410162848).

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

4004536320 is an equidigital number, since it uses as much as digits as its factorization.

4004536320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 4004536320 is about 63281.4057998082. The cubic root of 4004536320 is about 1588.0009051931. Note that the first 3 decimals are identical.

The spelling of 4004536320 in words is "four billion, four million, five hundred thirty-six thousand, three hundred twenty".