4648740768 has 96 divisors (see below), whose sum is σ = 15495822720. Its totient is φ = 1328209920.

The previous prime is 4648740751. The next prime is 4648740769. The reversal of 4648740768 is 8670478464.

4648740768 is a `hidden beast` number, since 464 + 87 + 40 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4648740768² = 43221581456130459648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4648740769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 378273 + ... + 390368.

It is an arithmetic number, because the mean of its divisors is an integer number (161414820).

Almost surely, 2^4648740768 is an apocalyptic number.

4648740768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4648740768 is an abundant number, since it is smaller than the sum of its proper divisors (10847081952).

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

4648740768 is a wasteful number, since it uses less digits than its factorization.

4648740768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768667 (or 768653 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The square root of 4648740768 is about 68181.6747227582. The cubic root of 4648740768 is about 1668.9568548525.

The spelling of 4648740768 in words is "four billion, six hundred forty-eight million, seven hundred forty thousand, seven hundred sixty-eight".