4977509735 has 16 divisors (see below), whose sum is σ = 6519526272. Its totient is φ = 3618055200.

The previous prime is 4977509723. The next prime is 4977509753. The reversal of 4977509735 is 5379057794.

It is not a de Polignac number, because 4977509735 - 2²⁰ = 4976461159 is a prime.

It is a Duffinian number.

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, 82772 + ... + 129638.

It is an arithmetic number, because the mean of its divisors is an integer number (407470392).

Almost surely, 2^4977509735 is an apocalyptic number.

4977509735 is a deficient number, since it is larger than the sum of its proper divisors (1542016537).

4977509735 is a wasteful number, since it uses less digits than its factorization.

4977509735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48814.

The product of its (nonzero) digits is 8334900, while the sum is 56.

The square root of 4977509735 is about 70551.4686948472. The cubic root of 4977509735 is about 1707.4082387788.

The spelling of 4977509735 in words is "four billion, nine hundred seventy-seven million, five hundred nine thousand, seven hundred thirty-five".