4935497760 has 144 divisors (see below), whose sum is σ = 17728925760. Its totient is φ = 1246855680.

The previous prime is 4935497717. The next prime is 4935497767. The reversal of 4935497760 is 677945394.

It is a happy number.

4935497760 is a `hidden beast` number, since 4 + 93 + 5 + 497 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4935497697 and 4935497706.

It is not an unprimeable number, because it can be changed into a prime (4935497767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62836 + ... + 117555.

It is an arithmetic number, because the mean of its divisors is an integer number (123117540).

Almost surely, 2^4935497760 is an apocalyptic number.

4935497760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4935497760 is an abundant number, since it is smaller than the sum of its proper divisors (12793428000).

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

4935497760 is a wasteful number, since it uses less digits than its factorization.

4935497760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180431 (or 180420 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The square root of 4935497760 is about 70253.0978676385. The cubic root of 4935497760 is about 1702.5909465153.

The spelling of 4935497760 in words is "four billion, nine hundred thirty-five million, four hundred ninety-seven thousand, seven hundred sixty".