4960728514560 has 1728 divisors, whose sum is σ = 21146610244032. Its totient is φ = 980863156224.

The previous prime is 4960728514559. The next prime is 4960728514561. The reversal of 4960728514560 is 654158270694.

It is an interprime number because it is at equal distance from previous prime (4960728514559) and next prime (4960728514561).

It is a self number, because there is not a number n which added to its sum of digits gives 4960728514560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960728514561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21290680204 + ... + 21290680436.

It is an arithmetic number, because the mean of its divisors is an integer number (12237621669).

Almost surely, 2^{4960728514560} is an apocalyptic number.

4960728514560 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 4960728514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573305122016).

4960728514560 is an abundant number, since it is smaller than the sum of its proper divisors (16185881729472).

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

4960728514560 is a wasteful number, since it uses less digits than its factorization.

4960728514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 57.

The spelling of 4960728514560 in words is "four trillion, nine hundred sixty billion, seven hundred twenty-eight million, five hundred fourteen thousand, five hundred sixty".