4667622400 has 297 divisors, whose sum is σ = 13683296367. Its totient is φ = 1574092800.

The previous prime is 4667622361. The next prime is 4667622433. The reversal of 4667622400 is 42267664.

The square root of 4667622400 is 68320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2149991424 + 2517630976 = 46368^2 + 50176^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4667622400.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 76518370 + ... + 76518430.

Almost surely, 2^4667622400 is an apocalyptic number.

4667622400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4667622400 is the 68320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4667622400

4667622400 is an abundant number, since it is smaller than the sum of its proper divisors (9015673967).

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

4667622400 is an equidigital number, since it uses as much as digits as its factorization.

4667622400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The cubic root of 4667622400 is about 1671.2133842475.

The spelling of 4667622400 in words is "four billion, six hundred sixty-seven million, six hundred twenty-two thousand, four hundred".