4956459760 has 80 divisors (see below), whose sum is σ = 13438872000. Its totient is φ = 1699348224.

The previous prime is 4956459733. The next prime is 4956459791. The reversal of 4956459760 is 679546594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62875 + ... + 117754.

It is an arithmetic number, because the mean of its divisors is an integer number (167985900).

Almost surely, 2^4956459760 is an apocalyptic number.

4956459760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4956459760 is an abundant number, since it is smaller than the sum of its proper divisors (8482412240).

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

4956459760 is a wasteful number, since it uses less digits than its factorization.

4956459760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180663 (or 180643 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The square root of 4956459760 is about 70402.1289450823. The cubic root of 4956459760 is about 1704.9979515115.

The spelling of 4956459760 in words is "four billion, nine hundred fifty-six million, four hundred fifty-nine thousand, seven hundred sixty".