4848768000 has 704 divisors, whose sum is σ = 19006640640. Its totient is φ = 1216512000.

The previous prime is 4848767969. The next prime is 4848768073. The reversal of 4848768000 is 8678484.

It is a super-2 number, since 2×4848768000² = 47021102235648000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79487970 + ... + 79488030.

Almost surely, 2^4848768000 is an apocalyptic number.

4848768000 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 4848768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9503320320).

4848768000 is an abundant number, since it is smaller than the sum of its proper divisors (14157872640).

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

4848768000 is a wasteful number, since it uses less digits than its factorization.

4848768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 4848768000 is about 69633.0955796165. The cubic root of 4848768000 is about 1692.5589421409.

The spelling of 4848768000 in words is "four billion, eight hundred forty-eight million, seven hundred sixty-eight thousand".