4748924602800 has 1440 divisors, whose sum is σ = 19863270336000. Its totient is φ = 1067250401280.

The previous prime is 4748924602759. The next prime is 4748924602801. The reversal of 4748924602800 is 82064298474.

4748924602800 is a `hidden beast` number, since 4 + 7 + 4 + 8 + 9 + 24 + 602 + 8 + 0 + 0 = 666.

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 (4748924602801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14091764232 + ... + 14091764568.

Almost surely, 2^{4748924602800} is an apocalyptic number.

4748924602800 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 4748924602800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9931635168000).

4748924602800 is an abundant number, since it is smaller than the sum of its proper divisors (15114345733200).

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

4748924602800 is a wasteful number, since it uses less digits than its factorization.

4748924602800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 4748924602800 in words is "four trillion, seven hundred forty-eight billion, nine hundred twenty-four million, six hundred two thousand, eight hundred".