4960714752 has 384 divisors, whose sum is σ = 17175412800. Its totient is φ = 1401421824.

The previous prime is 4960714739. The next prime is 4960714757. The reversal of 4960714752 is 2574170694.

4960714752 is a `hidden beast` number, since 496 + 0 + 71 + 47 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 4960714698 and 4960714707.

It is not an unprimeable number, because it can be changed into a prime (4960714757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55738324 + ... + 55738412.

Almost surely, 2^4960714752 is an apocalyptic number.

4960714752 is a gapful number since it is divisible by the number (42) 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 4960714752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587706400).

4960714752 is an abundant number, since it is smaller than the sum of its proper divisors (12214698048).

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

4960714752 is an frugal number, since it uses more digits than its factorization.

4960714752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 4960714752 is about 70432.3416620518. The cubic root of 4960714752 is about 1705.4857107845.

The spelling of 4960714752 in words is "four billion, nine hundred sixty million, seven hundred fourteen thousand, seven hundred fifty-two".