4663670400 has 288 divisors, whose sum is σ = 16850171520. Its totient is φ = 1228032000.

The previous prime is 4663670387. The next prime is 4663670413. The reversal of 4663670400 is 40763664.

It is an interprime number because it is at equal distance from previous prime (4663670387) and next prime (4663670413).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2389425 + ... + 2391375.

It is an arithmetic number, because the mean of its divisors is an integer number (58507540).

Almost surely, 2^4663670400 is an apocalyptic number.

4663670400 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 4663670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425085760).

4663670400 is an abundant number, since it is smaller than the sum of its proper divisors (12186501120).

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

4663670400 is a wasteful number, since it uses less digits than its factorization.

4663670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 4663670400 is about 68291.0711586808. The cubic root of 4663670400 is about 1670.7415880011.

The spelling of 4663670400 in words is "four billion, six hundred sixty-three million, six hundred seventy thousand, four hundred".