4677716400 has 720 divisors, whose sum is σ = 18930931200. Its totient is φ = 981227520.

The previous prime is 4677716399. The next prime is 4677716401. The reversal of 4677716400 is 46177764.

It is an interprime number because it is at equal distance from previous prime (4677716399) and next prime (4677716401).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (4677716401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 59211561 + ... + 59211639.

It is an arithmetic number, because the mean of its divisors is an integer number (26292960).

Almost surely, 2^4677716400 is an apocalyptic number.

4677716400 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 4677716400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9465465600).

4677716400 is an abundant number, since it is smaller than the sum of its proper divisors (14253214800).

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

4677716400 is a wasteful number, since it uses less digits than its factorization.

4677716400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 4677716400 is about 68393.8330553274. The cubic root of 4677716400 is about 1672.4172150077.

The spelling of 4677716400 in words is "four billion, six hundred seventy-seven million, seven hundred sixteen thousand, four hundred".