4562707968 has 720 divisors, whose sum is σ = 17444883456. Its totient is φ = 1164533760.

The previous prime is 4562707957. The next prime is 4562707993. The reversal of 4562707968 is 8697072654.

4562707968 is a `hidden beast` number, since 4 + 5 + 627 + 0 + 7 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 4562707968 = 600³ + 1632³ = 1132³ + 1460³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147184113 + ... + 147184143.

Almost surely, 2^4562707968 is an apocalyptic number.

4562707968 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 4562707968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722441728).

4562707968 is an abundant number, since it is smaller than the sum of its proper divisors (12882175488).

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

4562707968 is an equidigital number, since it uses as much as digits as its factorization.

4562707968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4562707968 is about 67547.8198611917. The cubic root of 4562707968 is about 1658.5970591900.

The spelling of 4562707968 in words is "four billion, five hundred sixty-two million, seven hundred seven thousand, nine hundred sixty-eight".