4754003760 has 720 divisors, whose sum is σ = 19383616512. Its totient is φ = 1034035200.

The previous prime is 4754003759. The next prime is 4754003767. The reversal of 4754003760 is 673004574.

4754003760 is a `hidden beast` number, since 47 + 540 + 0 + 3 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4754003767) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70955247 + ... + 70955313.

Almost surely, 2^4754003760 is an apocalyptic number.

4754003760 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 4754003760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9691808256).

4754003760 is an abundant number, since it is smaller than the sum of its proper divisors (14629612752).

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

4754003760 is a wasteful number, since it uses less digits than its factorization.

4754003760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 4754003760 is about 68949.2839701762. The cubic root of 4754003760 is about 1681.4598705039.

The spelling of 4754003760 in words is "four billion, seven hundred fifty-four million, three thousand, seven hundred sixty".