4806925824000 has 624 divisors, whose sum is σ = 16883620771680. Its totient is φ = 1214241177600.

The previous prime is 4806925823983. The next prime is 4806925824017. The reversal of 4806925824000 is 4285296084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4806925823983) and next prime (4806925824017).

It is a super-3 number, since 3×4806925824000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 554491666 + ... + 554500334.

It is an arithmetic number, because the mean of its divisors is an integer number (27057084570).

Almost surely, 2^{4806925824000} is an apocalyptic number.

4806925824000 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 4806925824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441810385840).

4806925824000 is an abundant number, since it is smaller than the sum of its proper divisors (12076694947680).

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

4806925824000 is an equidigital number, since it uses as much as digits as its factorization.

4806925824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8749 (or 8698 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 4806925824000 in words is "four trillion, eight hundred six billion, nine hundred twenty-five million, eight hundred twenty-four thousand".