4677205104 has 480 divisors, whose sum is σ = 16846921728. Its totient is φ = 1188864000.

The previous prime is 4677205103. The next prime is 4677205133. The reversal of 4677205104 is 4015027764.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677205103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10851769 + ... + 10852199.

Almost surely, 2^4677205104 is an apocalyptic number.

4677205104 is a gapful number since it is divisible by the number (44) 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 4677205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8423460864).

4677205104 is an abundant number, since it is smaller than the sum of its proper divisors (12169716624).

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

4677205104 is a wasteful number, since it uses less digits than its factorization.

4677205104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

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

The square root of 4677205104 is about 68390.0950723129. The cubic root of 4677205104 is about 1672.3562784797.

The spelling of 4677205104 in words is "four billion, six hundred seventy-seven million, two hundred five thousand, one hundred four".