4756713840 has 240 divisors, whose sum is σ = 16874158080. Its totient is φ = 1197504000.

The previous prime is 4756713833. The next prime is 4756713889. The reversal of 4756713840 is 483176574.

4756713840 is a `hidden beast` number, since 4 + 7 + 567 + 1 + 3 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6333465 + ... + 6334215.

It is an arithmetic number, because the mean of its divisors is an integer number (70308992).

Almost surely, 2^4756713840 is an apocalyptic number.

4756713840 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 4756713840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8437079040).

4756713840 is an abundant number, since it is smaller than the sum of its proper divisors (12117444240).

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

4756713840 is a wasteful number, since it uses less digits than its factorization.

4756713840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4756713840 is about 68968.9338760576. The cubic root of 4756713840 is about 1681.7793223011.

The spelling of 4756713840 in words is "four billion, seven hundred fifty-six million, seven hundred thirteen thousand, eight hundred forty".