4677450624 has 768 divisors, whose sum is σ = 18307123200. Its totient is φ = 1175731200.

The previous prime is 4677450607. The next prime is 4677450653. The reversal of 4677450624 is 4260547764.

It is a self number, because there is not a number n which added to its sum of digits gives 4677450624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150885489 + ... + 150885519.

It is an arithmetic number, because the mean of its divisors is an integer number (23837400).

Almost surely, 2^4677450624 is an apocalyptic number.

4677450624 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 4677450624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153561600).

4677450624 is an abundant number, since it is smaller than the sum of its proper divisors (13629672576).

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

4677450624 is an equidigital number, since it uses as much as digits as its factorization.

4677450624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 4677450624 is about 68391.8900455310. The cubic root of 4677450624 is about 1672.3855402375.

The spelling of 4677450624 in words is "four billion, six hundred seventy-seven million, four hundred fifty thousand, six hundred twenty-four".