4677623600 has 120 divisors (see below), whose sum is σ = 12131202720. Its totient is φ = 1723023360.

The previous prime is 4677623591. The next prime is 4677623609. The reversal of 4677623600 is 63267764.

It is an interprime number because it is at equal distance from previous prime (4677623591) and next prime (4677623609).

It is not an unprimeable number, because it can be changed into a prime (4677623609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2999621 + ... + 3001179.

It is an arithmetic number, because the mean of its divisors is an integer number (101093356).

Almost surely, 2^4677623600 is an apocalyptic number.

4677623600 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 4677623600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065601360).

4677623600 is an abundant number, since it is smaller than the sum of its proper divisors (7453579120).

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

4677623600 is a wasteful number, since it uses less digits than its factorization.

4677623600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 41.

The square root of 4677623600 is about 68393.1546282228. The cubic root of 4677623600 is about 1672.4061553844.

The spelling of 4677623600 in words is "four billion, six hundred seventy-seven million, six hundred twenty-three thousand, six hundred".