4977746865 has 224 divisors, whose sum is σ = 11311238400. Its totient is φ = 2045772288.

The previous prime is 4977746801. The next prime is 4977746867. The reversal of 4977746865 is 5686477794.

4977746865 is a `hidden beast` number, since 49 + 7 + 77 + 468 + 65 = 666.

It is not a de Polignac number, because 4977746865 - 2⁶ = 4977746801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (71124480) is a multiple of the sum of its prime divisors (420).

It is not an unprimeable number, because it can be changed into a prime (4977746867) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 14262711 + ... + 14263059.

It is an arithmetic number, because the mean of its divisors is an integer number (50496600).

Almost surely, 2^4977746865 is an apocalyptic number.

4977746865 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4977746865 is an abundant number, since it is smaller than the sum of its proper divisors (6333491535).

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

4977746865 is a wasteful number, since it uses less digits than its factorization.

4977746865 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 420 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The square root of 4977746865 is about 70553.1492209951. The cubic root of 4977746865 is about 1707.4353521553.

The spelling of 4977746865 in words is "four billion, nine hundred seventy-seven million, seven hundred forty-six thousand, eight hundred sixty-five".