4816644057600 has 480 divisors, whose sum is σ = 16503952608000. Its totient is φ = 1236848148480.

The previous prime is 4816644057587. The next prime is 4816644057607. The reversal of 4816644057600 is 67504466184.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×4816644057600² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4816644057607) 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, 433184841 + ... + 433195959.

It is an arithmetic number, because the mean of its divisors is an integer number (34383234600).

Almost surely, 2^{4816644057600} is an apocalyptic number.

4816644057600 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 4816644057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8251976304000).

4816644057600 is an abundant number, since it is smaller than the sum of its proper divisors (11687308550400).

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

4816644057600 is a wasteful number, since it uses less digits than its factorization.

4816644057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11568 (or 11547 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 4816644057600 in words is "four trillion, eight hundred sixteen billion, six hundred forty-four million, fifty-seven thousand, six hundred".