4816738752000 has 640 divisors, whose sum is σ = 19098102786048. Its totient is φ = 1053093888000.

The previous prime is 4816738751941. The next prime is 4816738752013. The reversal of 4816738752000 is 2578376184.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30834090 + ... + 30989910.

Almost surely, 2^{4816738752000} is an apocalyptic number.

4816738752000 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 4816738752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9549051393024).

4816738752000 is an abundant number, since it is smaller than the sum of its proper divisors (14281364034048).

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

4816738752000 is a wasteful number, since it uses less digits than its factorization.

4816738752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155887 (or 155861 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 51.

The spelling of 4816738752000 in words is "four trillion, eight hundred sixteen billion, seven hundred thirty-eight million, seven hundred fifty-two thousand".