4759340544 has 320 divisors, whose sum is σ = 16263244800. Its totient is φ = 1346125824.

The previous prime is 4759340507. The next prime is 4759340549. The reversal of 4759340544 is 4450439574.

4759340544 is a `hidden beast` number, since 4 + 7 + 593 + 4 + 0 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4759340544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4759340549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13257037 + ... + 13257395.

It is an arithmetic number, because the mean of its divisors is an integer number (50822640).

Almost surely, 2^4759340544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4759340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131622400).

4759340544 is an abundant number, since it is smaller than the sum of its proper divisors (11503904256).

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

4759340544 is a wasteful number, since it uses less digits than its factorization.

4759340544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 4759340544 is about 68987.9739085009. The cubic root of 4759340544 is about 1682.0888303449.

The spelling of 4759340544 in words is "four billion, seven hundred fifty-nine million, three hundred forty thousand, five hundred forty-four".