6634427520 has 384 divisors, whose sum is σ = 24887640960. Its totient is φ = 1498742784.

The previous prime is 6634427519. The next prime is 6634427609. The reversal of 6634427520 is 257244366.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 9125397 + ... + 9126123.

It is an arithmetic number, because the mean of its divisors is an integer number (64811565).

Almost surely, 2^6634427520 is an apocalyptic number.

6634427520 is a gapful number since it is divisible by the number (60) 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 6634427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12443820480).

6634427520 is an abundant number, since it is smaller than the sum of its proper divisors (18253213440).

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

6634427520 is a wasteful number, since it uses less digits than its factorization.

6634427520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 6634427520 is about 81451.9951873495. The cubic root of 6634427520 is about 1879.0333343375.

The spelling of 6634427520 in words is "six billion, six hundred thirty-four million, four hundred twenty-seven thousand, five hundred twenty".