4793071875200 has 768 divisors, whose sum is σ = 14660833075200. Its totient is φ = 1511909867520.

The previous prime is 4793071875197. The next prime is 4793071875217. The reversal of 4793071875200 is 25781703974.

It is a super-3 number, since 3×4793071875200³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2323349369 + ... + 2323351431.

It is an arithmetic number, because the mean of its divisors is an integer number (19089626400).

Almost surely, 2^{4793071875200} is an apocalyptic number.

4793071875200 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 4793071875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330416537600).

4793071875200 is an abundant number, since it is smaller than the sum of its proper divisors (9867761200000).

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

4793071875200 is a wasteful number, since it uses less digits than its factorization.

4793071875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 53.

The spelling of 4793071875200 in words is "four trillion, seven hundred ninety-three billion, seventy-one million, eight hundred seventy-five thousand, two hundred".