4847463532800 has 972 divisors, whose sum is σ = 20907296753616. Its totient is φ = 1107974246400.

The previous prime is 4847463532787. The next prime is 4847463532829. The reversal of 4847463532800 is 82353647484.

4847463532800 is a `hidden beast` number, since 4 + 8 + 4 + 7 + 4 + 6 + 353 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (972).

It is a super-3 number, since 3×4847463532800³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 76172995 + ... + 76236605.

Almost surely, 2^{4847463532800} is an apocalyptic number.

4847463532800 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 4847463532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453648376808).

4847463532800 is an abundant number, since it is smaller than the sum of its proper divisors (16059833220816).

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

4847463532800 is an equidigital number, since it uses as much as digits as its factorization.

4847463532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63666 (or 63628 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 4847463532800 in words is "four trillion, eight hundred forty-seven billion, four hundred sixty-three million, five hundred thirty-two thousand, eight hundred".