4668710400 has 720 divisors, whose sum is σ = 18469651200. Its totient is φ = 1164533760.

The previous prime is 4668710393. The next prime is 4668710411. The reversal of 4668710400 is 40178664.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 59097561 + ... + 59097639.

Almost surely, 2^4668710400 is an apocalyptic number.

4668710400 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 4668710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234825600).

4668710400 is an abundant number, since it is smaller than the sum of its proper divisors (13800940800).

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

4668710400 is an equidigital number, since it uses as much as digits as its factorization.

4668710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4668710400 is about 68327.9620653214. The cubic root of 4668710400 is about 1671.3432247207.

The spelling of 4668710400 in words is "four billion, six hundred sixty-eight million, seven hundred ten thousand, four hundred".