6634432224 has 384 divisors, whose sum is σ = 22998528000. Its totient is φ = 1859397120.

The previous prime is 6634432219. The next prime is 6634432229. The reversal of 6634432224 is 4222344366.

6634432224 is a `hidden beast` number, since 66 + 344 + 32 + 224 = 666.

It is an interprime number because it is at equal distance from previous prime (6634432219) and next prime (6634432229).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6634432229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18077289 + ... + 18077655.

It is an arithmetic number, because the mean of its divisors is an integer number (59892000).

Almost surely, 2^6634432224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6634432224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11499264000).

6634432224 is an abundant number, since it is smaller than the sum of its proper divisors (16364095776).

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

6634432224 is a wasteful number, since it uses less digits than its factorization.

6634432224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 440 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

The square root of 6634432224 is about 81452.0240632484. The cubic root of 6634432224 is about 1879.0337784336.

The spelling of 6634432224 in words is "six billion, six hundred thirty-four million, four hundred thirty-two thousand, two hundred twenty-four".