4725237785760 has 480 divisors, whose sum is σ = 17729585596800. Its totient is φ = 1182532995072.

The previous prime is 4725237785743. The next prime is 4725237785843. The reversal of 4725237785760 is 675877325274.

It is a happy number.

4725237785760 is a `hidden beast` number, since 4 + 7 + 2 + 52 + 3 + 7 + 7 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 79 ways as a sum of consecutive naturals, for example, 15648691 + ... + 15947789.

It is an arithmetic number, because the mean of its divisors is an integer number (36936636660).

Almost surely, 2^{4725237785760} is an apocalyptic number.

4725237785760 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 4725237785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864792798400).

4725237785760 is an abundant number, since it is smaller than the sum of its proper divisors (13004347811040).

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

4725237785760 is a wasteful number, since it uses less digits than its factorization.

4725237785760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299202 (or 299185 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 63.

The spelling of 4725237785760 in words is "four trillion, seven hundred twenty-five billion, two hundred thirty-seven million, seven hundred eighty-five thousand, seven hundred sixty".