4537568448 has 336 divisors, whose sum is σ = 15919338240. Its totient is φ = 1206835200.

The previous prime is 4537568419. The next prime is 4537568479. The reversal of 4537568448 is 8448657354.

It is a happy number.

4537568448 is a `hidden beast` number, since 4 + 5 + 37 + 568 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 4537568394 and 4537568403.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4672603 + ... + 4673573.

Almost surely, 2^4537568448 is an apocalyptic number.

4537568448 is a gapful number since it is divisible by the number (48) 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 4537568448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7959669120).

4537568448 is an abundant number, since it is smaller than the sum of its proper divisors (11381769792).

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

4537568448 is a wasteful number, since it uses less digits than its factorization.

4537568448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1063 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The square root of 4537568448 is about 67361.4759933302. The cubic root of 4537568448 is about 1655.5452787762.

It can be divided in two parts, 4537 and 568448, that added together give a triangular number (572985 = T₁₀₇₀).

The spelling of 4537568448 in words is "four billion, five hundred thirty-seven million, five hundred sixty-eight thousand, four hundred forty-eight".