4648427481600 has 2880 divisors, whose sum is σ = 20851497418752. Its totient is φ = 1003290624000.

The previous prime is 4648427481521. The next prime is 4648427481629. The reversal of 4648427481600 is 61847248464.

4648427481600 is a `hidden beast` number, since 4 + 6 + 4 + 8 + 4 + 27 + 4 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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 287 ways as a sum of consecutive naturals, for example, 47921932752 + ... + 47921932848.

Almost surely, 2^{4648427481600} is an apocalyptic number.

4648427481600 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 4648427481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10425748709376).

4648427481600 is an abundant number, since it is smaller than the sum of its proper divisors (16203069937152).

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

4648427481600 is an equidigital number, since it uses as much as digits as its factorization.

4648427481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 4648427481600 in words is "four trillion, six hundred forty-eight billion, four hundred twenty-seven million, four hundred eighty-one thousand, six hundred".