6328624401 has 72 divisors (see below), whose sum is σ = 10435082112. Its totient is φ = 3690561600.

The previous prime is 6328624399. The next prime is 6328624403. The reversal of 6328624401 is 1044268236.

6328624401 is a `hidden beast` number, since 6 + 3 + 28 + 624 + 4 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (6328624399) and next prime (6328624403).

It is not a de Polignac number, because 6328624401 - 2¹ = 6328624399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6328624403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3121150 + ... + 3123176.

It is an arithmetic number, because the mean of its divisors is an integer number (144931696).

Almost surely, 2^6328624401 is an apocalyptic number.

6328624401 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6328624401 is a deficient number, since it is larger than the sum of its proper divisors (4106457711).

6328624401 is a wasteful number, since it uses less digits than its factorization.

6328624401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6328624401 is about 79552.6517534142. The cubic root of 6328624401 is about 1849.7077114072.

The spelling of 6328624401 in words is "six billion, three hundred twenty-eight million, six hundred twenty-four thousand, four hundred one".