4758504960 has 640 divisors, whose sum is σ = 18101698560. Its totient is φ = 1054310400.

The previous prime is 4758504953. The next prime is 4758504967. The reversal of 4758504960 is 694058574.

It is an interprime number because it is at equal distance from previous prime (4758504953) and next prime (4758504967).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4758504967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60234201 + ... + 60234279.

It is an arithmetic number, because the mean of its divisors is an integer number (28283904).

Almost surely, 2^4758504960 is an apocalyptic number.

4758504960 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 4758504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050849280).

4758504960 is an abundant number, since it is smaller than the sum of its proper divisors (13343193600).

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

4758504960 is a wasteful number, since it uses less digits than its factorization.

4758504960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 4758504960 is about 68981.9176306371. The cubic root of 4758504960 is about 1681.9903847190.

The spelling of 4758504960 in words is "four billion, seven hundred fifty-eight million, five hundred four thousand, nine hundred sixty".