4564794624768 has 1152 divisors, whose sum is σ = 16588306022400. Its totient is φ = 1209323520000.

The previous prime is 4564794624697. The next prime is 4564794624791. The reversal of 4564794624768 is 8674264974654.

4564794624768 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 7 + 94 + 62 + 476 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 4564794624696 and 4564794624705.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16844260473 + ... + 16844260743.

It is an arithmetic number, because the mean of its divisors is an integer number (14399571200).

Almost surely, 2^{4564794624768} is an apocalyptic number.

4564794624768 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 4564794624768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294153011200).

4564794624768 is an abundant number, since it is smaller than the sum of its proper divisors (12023511397632).

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

4564794624768 is a wasteful number, since it uses less digits than its factorization.

4564794624768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its digits is 1950842880, while the sum is 72.

The spelling of 4564794624768 in words is "four trillion, five hundred sixty-four billion, seven hundred ninety-four million, six hundred twenty-four thousand, seven hundred sixty-eight".