4677522120 has 256 divisors, whose sum is σ = 16670188800. Its totient is φ = 1162506240.

The previous prime is 4677522119. The next prime is 4677522127. The reversal of 4677522120 is 212257764.

It is a happy number.

4677522120 is a `hidden beast` number, since 4 + 6 + 7 + 7 + 522 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4677522127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1963330 + ... + 1965710.

It is an arithmetic number, because the mean of its divisors is an integer number (65117925).

Almost surely, 2^4677522120 is an apocalyptic number.

4677522120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4677522120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8335094400).

4677522120 is an abundant number, since it is smaller than the sum of its proper divisors (11992666680).

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

4677522120 is a wasteful number, since it uses less digits than its factorization.

4677522120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4677522120 is about 68392.4127370866. The cubic root of 4677522120 is about 1672.3940611375.

Adding to 4677522120 its reverse (212257764), we get a palindrome (4889779884).

The spelling of 4677522120 in words is "four billion, six hundred seventy-seven million, five hundred twenty-two thousand, one hundred twenty".