4776577020 has 96 divisors (see below), whose sum is σ = 14974122240. Its totient is φ = 1264011840.

The previous prime is 4776577007. The next prime is 4776577033. The reversal of 4776577020 is 207756774.

4776577020 is a `hidden beast` number, since 4 + 7 + 76 + 577 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4776577007) and next prime (4776577033).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36979 + ... + 104501.

It is an arithmetic number, because the mean of its divisors is an integer number (155980440).

Almost surely, 2^4776577020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4776577020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7487061120).

4776577020 is an abundant number, since it is smaller than the sum of its proper divisors (10197545220).

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

4776577020 is a wasteful number, since it uses less digits than its factorization.

4776577020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67672 (or 67664 counting only the distinct ones).

The product of its (nonzero) digits is 576240, while the sum is 45.

The square root of 4776577020 is about 69112.7847796629. The cubic root of 4776577020 is about 1684.1170072144.

The spelling of 4776577020 in words is "four billion, seven hundred seventy-six million, five hundred seventy-seven thousand, twenty".