4677573120 has 320 divisors, whose sum is σ = 17277929856. Its totient is φ = 1066926080.

The previous prime is 4677573107. The next prime is 4677573127. The reversal of 4677573120 is 213757764.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (4677573127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434532 + ... + 1437788.

Almost surely, 2^4677573120 is an apocalyptic number.

4677573120 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 4677573120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8638964928).

4677573120 is an abundant number, since it is smaller than the sum of its proper divisors (12600356736).

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

4677573120 is a wasteful number, since it uses less digits than its factorization.

4677573120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 4677573120 is about 68392.7855844460. The cubic root of 4677573120 is about 1672.4001392693.

The spelling of 4677573120 in words is "four billion, six hundred seventy-seven million, five hundred seventy-three thousand, one hundred twenty".