4516784833968 has 400 divisors, whose sum is σ = 14533913877120. Its totient is φ = 1342660838400.

The previous prime is 4516784833927. The next prime is 4516784833973. The reversal of 4516784833968 is 8693384876154.

4516784833968 is a `hidden beast` number, since 4 + 5 + 16 + 78 + 483 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4516784833896 and 4516784833905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 412976596 + ... + 412987532.

Almost surely, 2^{4516784833968} is an apocalyptic number.

4516784833968 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 4516784833968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7266956938560).

4516784833968 is an abundant number, since it is smaller than the sum of its proper divisors (10017129043152).

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

4516784833968 is a wasteful number, since it uses less digits than its factorization.

4516784833968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11503 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 4516784833968 in words is "four trillion, five hundred sixteen billion, seven hundred eighty-four million, eight hundred thirty-three thousand, nine hundred sixty-eight".